Answer:
a) 68%; b) 99.5%
Step-by-step explanation:
The empirical rule states that 68% of data falls within 1 standard deviation of the mean; 95% of data falls within 2 standard deviations of the mean; and 99.7% of data falls within 3 standard deviations of the mean.
For part a,
We are asked the approximate percentage of women whose platelet counts are within 1 standard deviation of the mean. According to the empirical rule, this is 68%.
For part b,
We are given the endpoints of the interval. The lower endpoint is 181.5; this is 250.8-181.5 = 138.6 away from the mean. Dividing by the standard deviation, 69.3, we have
138.6/69.3 = 2
This is 2 standard deviations away from the mean.
The higher endpoint is 320.1; this is 320.1-181.5 = 138.6 away from the mean. Dividing by the standard deviation, 69.3, we have
138.6/69.3 = 2
This is standard deviations away from the mean.
This means this interval includes about 95% of women.
Final answer:
Using the empirical rule, approximately 68% of women have platelet counts within 1 standard deviation of the mean (181.5 to 320.1), and approximately 95% have counts within 2 standard deviations of the mean (112.2 to 389.4).
Explanation:
The question asks to apply the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution:
Approximately 68% of the data falls within 1 standard deviation of the mean.
Approximately 95% of the data falls within 2 standard deviations of the mean.
Approximately 99.7% of the data falls within 3 standard deviations of the mean.
We have a mean (μ) of 250.8 and a standard deviation (σ) of 69.3 for the blood platelet counts.
Part (a)
Within 1 standard deviation of the mean (181.5 to 320.1):
Approximately 68% of the women fall in this range.
Part (b)
Within 2 standard deviations of the mean (112.2 to 389.4):
Approximately 95% of the women fall in this range.
D? Marco draws a card and replaces it 10 times from a standard deck of 52 cards. He draws 8 red cards and 2 black cards. What is the experimental probability of drawing a red card?
A) 1/2
B) 1/4
C) 2/3
D) 4/5
Answer:
D) 4/5
Step-by-step explanation:
He drew and replaced cards 10 times.
8 out of the 10 times, he drew a red card.
8/10 = 4/5
Answer: D) 4/5
You are correct.
Final answer:
The experimental probability of drawing a red card, based on the information given, is 4/5, since Marco drew 8 red cards out of 10 total draws.
Explanation:
The student is asking for the experimental probability of drawing a red card based on Marco's actual draws from a standard deck of 52 cards. Experimental probability is calculated by dividing the number of times the event of interest (drawing a red card) occurred by the total number of trials. In this case, Marco drew a red card 8 times out of 10 total draws.
Therefore, the experimental probability is:
Experimental Probability = Number of red cards drawn / Total number of draws = 8/10
When simplified, 8/10 equals 4/5. Therefore, the correct answer is:
Experimental Probability of Drawing a Red Card = 4/5
Which describes the number and type of roots of the equation x^4 - 64 = 0
a. 2 real roots, 2 imaginary roots
b. 4 real roots
c. 3 real roots, 1 imaginary root
d. 4 imaginary roots
ANSWER
a. 2 real roots, 2 imaginary roots
EXPLANATION
The given equation is
[tex] {x}^{4} - 64 = 0[/tex]
We rewrite as difference of two squares,
[tex]( {x}^{2} )^{2} - {8}^{2} = 0[/tex]
We factor using difference of two squares to get;
[tex]( {x}^{2} - 8)( {x}^{2} + 8) = 0[/tex]
We now use the zero product property to get:
[tex]{x}^{2} = 8 \: or \: {x}^{2} = - 8[/tex]
Take the square root of both sides to get;
[tex]{x} = \pm \sqrt{8} \: or \: {x}^{2} = \pm \sqrt{ - 8} [/tex]
[tex]{x} = \pm 2\sqrt{2} \: or \: {x} = \pm 2\sqrt{ 2} i[/tex]
[tex]{x} = - 2\sqrt{2} \: or \: {x} = 2\sqrt{ 2}[/tex]
are two real roots.
[tex]{x} = - 2\sqrt{2}i \: or \: {x} = 2\sqrt{ 2} i[/tex]
are two imaginary roots.
The correct answer is A.
The correct answer is a. 2 real roots, 2 imaginary roots.
To determine the number and type of roots for the equation [tex]\(x^4 - 64 = 0\)[/tex]
1. Start with the equation:
[tex]\[ x^4 - 64 = 0 \][/tex]
2. Rewrite the equation as a difference of squares:
[tex]\[ x^4 - 64 = (x^2)^2 - 8^2 = (x^2 - 8)(x^2 + 8) = 0 \][/tex]
3. Set each factor equal to zero:
[tex]\[ x^2 - 8 = 0 \]\[ x^2 + 8 = 0 \][/tex]
4. Solve each equation separately:
For [tex]\(x^2 - 8 = 0\)[/tex]:
[tex]\[ x^2 = 8 \]\[ x = \pm \sqrt{8} = \pm 2\sqrt{2} \][/tex]
These are two real roots.
For [tex]\(x^2 + 8 = 0\)[/tex]:
[tex]\[ x^2 = -8 \]\[ x = \pm \sqrt{-8} = \pm \sqrt{8i^2} = \pm 2\sqrt{2}i \][/tex]
These are two imaginary roots.
Therefore, the equation [tex]\(x^4 - 64 = 0\)[/tex] has:
- 2 real roots: [tex]\(2\sqrt{2}\) and \(-2\sqrt{2}\)[/tex]
- 2 imaginary roots: [tex]\(2\sqrt{2}i\) and \(-2\sqrt{2}i\)[/tex]
The correct answer is:
a. 2 real roots, 2 imaginary roots
The complete question is- Which describes the number and type of roots of the equation [tex]x^4 - 64 = 0[/tex]
a. 2 real roots, 2 imaginary roots
b. 4 real roots
c. 3 real roots, 1 imaginary root
d. 4 imaginary roots
Can someone help with either question plz
Answer:
A = 204
Step-by-step explanation:
The formula for the area of a parallelogram is
A = bh
Data:
P = 60
h = AX =12
MX = 5
Calculation:
MA² = MX² + h² = 5² + 12² = 25 + 144 = 169
MA = √169 = 13
P = 2MA + 2MH = 2MA + 2(MX + HX) = 26 + 2(5 + HX) = 60
26 + 10 + 2HX = 60
36 + 2HX = 60
2HX = 24
HX = 12
b = MH = MX + HX = 5 + 12 = 17
A = bh =17 × 12 = 204
The area of the parallelogram is 204.
Please help me. I need help with this
See the attached picture:
Work parentheses from inside out, and don't forget to multiply/divide together, left to right, and then do the same for add/subtract.
Answer:
This is correct PEMDAS
Step-by-step explanation:
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
Which of the equations listed below are linear equations? Equation I: C=2*3.14*r Equation II: A = 3.14*r^2 Equation III: V = 4/3*3.14*r^3
Answer:
Equation I: C=2*3.14*r
Step-by-step explanation:
A linear equation is an equation whose highest exponent on the variable is 1.
C=2*3.14*r.................Exponent of 1
A = 3.14*r^2...............Exponent of 2
A = 3.14*r^2...............Exponent of 3
Can someone help me on this question
Answer:
9
Step-by-step explanation:
✯Hello✯
↪ There is a quadratic formula that needs to be used. 4ac and b^2 are a part of this formula
↪ First we need to work out the Values for A and B and C
A = 1
B = 5
C= 4
↪ now we can substitute this into what the equation is asking. (5)^2-4(1)(4)=9
↪ The answer is 9
↪ I hope this helps you :)
❤Gianna❤
Thirty times the square of a non-zero number is equal to eight times the number. what is the number?
let's say number is x , then
30 × (x)^2 = 8x
subtracting 8x from both side
30x^2 - 8x = 0
taking 2x common
2x( 15x - 4)= 0
one solution is
2x = 0
x= 0
but number is non zero so ignoring it.
next solution is
15x - 4 = 0
adding 4 both side
15x = 4
dividing by 15 both side
x = 4/15
Which capacity is most appropriate for a pitcher of lemonade 3 litters or 30 milliliters
Answer:
3 liters.
Step-by-step explanation:
If you go to the store and you buy a 2 liter of soda making a pitcher of lemonade with one more liter won't hurt.
A milliliter is not a lot. It won't even quench your own thirst. So 3 liters is the best option.
. Write an equation of the line that passes through (2, -1) and is parallel to the graph of y = 5x – 2.
Write your final equation in slope-intercept form.
PARALLEL slopes always have the same slope no matter what because they are parallel
The length of a rectangle is x and the width is 2x-8. If the area of the rectangle is 234 yd^2, find the value of x.
Answer:
x = 13
Step-by-step explanation:
The area of a rectangle is found by A = l*w. Since the length here is x and the width is 2x - 8, substitute these values and A = 234 to solve for x.
[tex]A = l*w\\234 = x(2x-8)\\234 = 2x^2 - 8x[/tex]
To solve for x, move 234 to the other side by subtraction. Then remove the common factor between all three terms of 2. Factor and solve.
[tex]2x^2 - 8x - 234 = 0 \\2(x^2 - 4x - 117) = 0\\2(x - 13)(x+9) = 0\\[/tex]
Set each factor equal to 0 and solve.
x - 13 = 0 so x = 13
x + 9 = 0 so x = -9
Since x is a side length and length/distance cannot be negative, then x = 13 is the length of the rectangle.
Javier and Kyle work installing windows and can earn extra money by installing doors. Last week, Javier earned $56 more than Kyle because of door installations. The expression below represents Javier's pay for the week: 14w + 56 What does the constant term of the expression represent?
Answer:
The money Javier earned installing doors.
Step-by-step explanation:
The problem statement gives insufficient information to answer the question with certainty.
The $56 extra earnings from door installation seems to match the 56 added as a term in Javier's pay, so we assume they are related. There is nothing else in the problem statement suggesting that to be the case.
_____
Comment on this problem
The problem fails to teach anything about math or critical thinking. Rather, it requires a student to jump to conclusions without any basis in reasoning. If the rest of the curriculum materials are like this, they should be rejected.
help idk "There are 49 dogs signed up to compete in the dog show. There are 36 more small dogs than large dogs signed up to compete. How many small dogs are signed up to compete
there are 13 small dogs that compete
Find the area of a rectangle with a length of 27 8 inches and a width of 1 2 inch.
3336_____________________________
The owner of a large manufacturing plant pays the base rate of $11.24 per $100 in wages paid for workers’ compensation insurance. The payroll for September is $179,805. What is the month’s premium for the workers’ compensation insurance?
A $20, 210.08
B $23,459.19
C $19,357.21
D $18,650.93
Answer:
Answer is B
Step-by-step explanation:
To find the workers' compensation insurance premium, multiply the payroll for September ($179,805) by the base rate converted to decimal (0.1124), resulting in a premium of $20,210.08 (Option A).
The question involves calculating the premium for workers' compensation insurance based on the total payroll for the month of September. To determine the monthly premium, we need to apply the base rate to the total payroll amount. The base rate is given as $11.24 per $100 in wages paid. We can calculate the premium with the following steps:
Convert the base rate to a decimal by dividing by 100. This will give us 0.1124.
Multiply the total payroll amount ($179,805) by the decimal base rate (0.1124) to get the premium amount.
Let's perform the calculation:
$179,805 * 0.1124 = $20,210.08
Therefore, the correct option is:
A) $20,210.08
50 POINTS AND BRAINLIEST!!! NEED HELP NOW!!
The dot plots below show the weights of the players of two teams:
Based on visual inspection of the dot plots, which team appears to have the larger mean weight?
A. Not enough information is available to draw a conclusion.
B. Both groups are similar.
C. Team F
D.Team E
Question 10(Multiple Choice Worth 5 points)
(08.02 MC)
The two dot plots below show the heights of some sixth graders and some seventh graders:
The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 1.7. Approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders? (Round all values to the tenths place.)
1.2
1.4
2.4
2.8
1. would have to be team E because add up all the numbers 1058/8 (which is how many numbers that is there) 132.25.
2. (More of an explanation if you still don't understand)
52+52+53+54+55+55=321/6=53.5
52+53+54+55+57+57=328/6=54.66 repeated rounded to 54.7 so your answer is 1.2
P=−4b ^2+6b−9
Q=7b ^2−2b−5
P − Q =
Answer is :−11b^2+8b−4
Answer:
see explanation
Step-by-step explanation:
P - Q
= - 4b² + 6b - 9 - ( 7b² - 2b - 5) ← distribute by - 1
= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms
= - 11b² + 8b - 4
Answer:
[tex]\large\boxed{P-Q=-11b^2+8b-4}[/tex]
Step-by-step explanation:
[tex]P=-4b^2+6b-9\\Q=7b^2-2b-5\\\\P-Q=(-4b^2+6b-9)-(7b^2-2b-5)\\P-Q=-4b^2+6b-9-7b^2-(-2b)-(-5)\\P-Q=-4b^2+6b-9-7b^2+2b+5\qquad\text{combine like terms}\\P-Q=(-4b^2-7b^2)+(6b+2b)+(-9+5)\\P-Q=-11b^2+8b-4[/tex]
Evaluate the expression(-3.8)+0+y for the given values of y.
y value value of expression
-3.3 -7.1
-2.6
1
4.2
Answer:
y = -3.3 then -7.1
y = -7.1 then -10.9
y = -2.6 then -6.4
y = 1 then -2.8
y = 4.2 then 0.4
Step-by-step explanation:
(-3.8)+0+y can be simplified to -3.8 + y. Evaluate each value for y by substituting it into the expression and solving.
y = -3.3 then -3.8 + -3.3 = -7.1
y = -7.1 then -3.8 + -7.1 = -10.9
y = -2.6 then -3.8 + -2.6 = -6.4
y = 1 then -3.8 + 1 = -2.8
y = 4.2 then -3.8 + 4.2 = 0.4
To evaluate the expression (-3.8) + 0 + y, substitute the given value of y and perform addition.
Explanation:To evaluate the expression (-3.8) + 0 + y, you simply substitute the given value of y into the expression and perform the addition. Let's evaluate the expression for each given value of y:
For y = -3.3:(-3.8) + 0 + (-3.3) = -7.1For y = -2.6:(-3.8) + 0 + (-2.6) = -6.4For y = 1:(-3.8) + 0 + 1 = -2.8For y = 4.2:(-3.8) + 0 + 4.2 = 0.4Thus, the values of the expression for the given values of y are:
For y = -3.3, the value of the expression is -7.1For y = -2.6, the value of the expression is -6.4For y = 1, the value of the expression is -2.8For y = 4.2, the value of the expression is 0.4Learn more about Evaluating Expressions here:https://brainly.com/question/21469837
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A chemist needs 30mL of a 12% acid solution for an experiment. The lab has available a 10% solution and a 25% solution. How many milliliters of the 10% solution and how many milliliters of the 25% solution should the chemist mix to make the 12% solution?
parts of 10% soln, x
parts of 25% soln, y
total soln, x+y =30
{x(0.1) + y(0.25)}/(x + y) = 0.12...eqn 1
x + y = 30...eqn 2
from eqn 2...=》 x = 30-y
subst for x in eqn 1...
=》 {(30-y)(0.1) + y(0.25)}/ 30-y+y = 0.12
=》 (3-.1y+.25y)/30 =0.12
=》 3+.15y = 3.6
=》 .15y = .6
=》 y =4
using x = 30 - y = 26
ans
26ml of 10% soln
4ml of 25% soln
Using a system of equations to represent the scenario, 26mL of 10% solution and 4mL of 25% solution would be required.
Let ;
Amount of 10% solution = a Amount of 25% solution = ba + b = 30 - - - - (1)0.1a + 0.25b = (0.12 × 30)0.1a + 0.25b = 3.6 - - - (2)From (1)
a = 30 - b - - - (3)Substitute (3) into (2)
0.1(30 - b) + 0.25b = 3.6
3 - 0.1b + 0.25b = 3.6
0.15b = 0.6
b = 0.6/0.15
b = 4
From (3) :
a = 30 - 4
a = 26
Hence, 26mL of 10% solution and 4mL of 25% solution would be required.
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what is the inverse of the function below f(x)=3^x
Answer:
[tex]f^{-1}(x)=\frac{ln(x)}{ln(3)}[/tex]
Step-by-step explanation:
Given: [tex]f(x)=3^x[/tex]
To find the inverse, let's first replace the [tex]f(x)[/tex] with [tex]y[/tex].
[tex]y=3^x[/tex]
Switch the [tex]x[/tex] and [tex]y[/tex].
[tex]x=3^y[/tex]
Solve for [tex]y[/tex].
[tex]y=\frac{ln(x)}{ln(3)}[/tex]
Write it in inverse notation.
[tex]f^{-1}(x)=\frac{ln(x)}{ln(3)}[/tex]
Answer: A) f^-1(x) = log₃x
in the equation below, what is the value of Y when X = 100?
5y = 2.3√x
a- 2.46
b- 4.6
c- 18
d- 46
Answer:
b- 4.6
Step-by-step explanation:
5y = 2.3√x
Let x = 100
5y = 2.3 sqrt(100)
5y = 2.3 (10)
5y = 23
Divide by 5
5y/5 = 23/5
y =4.6
Please help with this problem! :)
Answer:
∠STP = 90°
Step-by-step explanation:
The diagonals of a square are perpendicular bisectors of each other, hence
∠STP = 90°
i am confusion ̿'̿'\̵͇̿̿\з=( ͠° ͟ʖ ͡°)=ε/̵͇̿̿/'̿̿ ̿ ̿ ̿ ̿ ̿
ANSWER:
~~~~~~~~~
Im pretty sure the answer is "Relation"
~~~~~~~~~
Relation definition:
A relation is a set of numbers that have a relationship through the use of a domain and a range.
~~~~~~~~~
HOPE THIS HELPS!!!
≠GoodLuck
It is a relation because even if they are negative they still can have a relation between them. Hope this is helpful for you!
[tex]f(x) - \frac{x^{2}-4 }{x^{4} +x^{3} -4x^{2}-4 }[/tex]
What is the:
Domain:
V.A:
RootsL
Y-Int:
H.A:
Holes:
O.A:
Also, graph it.
a) The given function is
[tex]f(x)=\frac{x^2-4}{x^4+x^3-4x^2-4}[/tex]
The domain refers to all values of x for which the function is defined.
The function is defined for
[tex]x^4+x^3-4x^2-4\ne0[/tex]
This implies that;
[tex]x\ne -2.69,x\ne 1.83[/tex]
b) The vertical asymptotes are x-values that makes the function undefined.
To find the vertical asymptote, equate the denominator to zero and solve for x.
[tex]x^4+x^3-4x^2-4=0[/tex]
This implies that;
[tex]x= -2.69,x=1.83[/tex]
c) The roots are the x-intercepts of the graph.
To find the roots, we equate the function to zero and solve for x.
[tex]\frac{x^2-4}{x^4+x^3-4x^2-4}=0[/tex]
[tex]\Rightarrow x^2-4=0[/tex]
[tex]x^2=4[/tex]
[tex]x=\pm \sqrt{4}[/tex]
[tex]x=\pm2[/tex]
The roots are [tex]x=-2,x=2[/tex]
d) The y-intercept is where the graph touches the y-axis.
To find the y-inter, we substitute;
[tex]x=0[/tex] into the function
[tex]f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}[/tex]
[tex]f(0)=\frac{-4}{-4}=1[/tex]
e) to find the horizontal asypmtote, we take limit to infinity
[tex]lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0[/tex]
The horizontal asymtote is [tex]y=0[/tex]
f) The greatest common divisor of both the numerator and the denominator is 1.
There is no common factor of the numerator and the denominator which is at least a linear factor.
Therefore the function has no holes.
g) The given function is a proper rational function.
There is no oblique asymptote.
See attachment for graph.
SUUUPPERR URGENT! PLEASE HELP 50 POINTS!!!
When the following quadratic equation is written in general form, what is the value of "c"?
-3/4x^2+2=0
-8
-6
-2
Here is your answer
[tex]\bold{-2}[/tex]
REASON :
Given equation -
[tex] \frac{-3}{4}{x}^{2}+2=0 [/tex]
when, written in general form equation is
[tex] \frac{3}{4}{x}^{2}-2=0 [/tex] (on multiplying both sides by -1)
Now this is quadratic equation in general form, where
[tex] a= \frac{3}{4} [/tex] [coefficient of x^2]
b= 0 [coefficient of x]
c= -2 [constant term]
Hence, c= -2
HOPE IT IS USEFUL
Answer:
-2
Step-by-step explanation:
a = 3/4
[coefficient of x^2]
b= 0 [coefficient of x]
c= -2 [constant term]
Mary mixies white paint and blue paint in the ratios 2:3. She makes a total of 20 litres of paint. How much more blue paint does she needs to add to the mixture so the ratios of white paint to the blue paint become 1:7?
Answer:
44 liters
Step-by-step explanation:
It is 44 liters !!!!!
Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 888 wings for \$7$7dollar sign, 7. Buffalo Mild Wings has 121212 wings for \$10$10dollar sign, 10. Wingers has 202020 wings for \$17$17dollar sign, 17. Which restaurant offers the lowest price per wing?
Cost of chicken wings at Buffalo Bills = 8 wings for $7
Cost of 1 wing at Buffalo Bills = [tex]\frac{7}{8} =0.875[/tex]
Cost of chicken wings at Buffalo Mild Wings = 12 wings for $10
Cost of 1 wing at Buffalo Mild Wings = [tex]\frac{10}{12}= 0.833[/tex]
Cost of chicken wings at Wingers = 20 wings at $17
Cost of 1 wing at Wingers = [tex]\frac{17}{20}= 0.850[/tex]
Hence, comparing all the three costs per wing, we can see that Buffalo Mild Wings is serving chicken wings at lowest price of $0.833 per wing.
Answer:
It is B
Step-by-step explanation:
Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean = 35 and a standard deviation of 8. What is the probability a random sample of 36 days would have a mean between 32.6 and 34.6?
Answer:
P = 0.3462
Step-by-step explanation:
See attached photo for work.
We have a sample mean of 35, a sample standard deviation of 8, and a sample size of 36.
You need to see that the probability of the number of items you can deliver in a day is between 32.6 and 34.6.
The answer is 0.3462, so there's about a 34.62% chance that you will deliver an average of 32.6 to 34.6 packages per day.
The probability a random sample of 36 days would have a mean between 32.6 and 34.6 is 0.3462
What is probability?The chance of happening of an event is called probability.Probability is always less then 1 What is mean?Mean is actually the average of all the observations.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean
What is z-score?A z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
How to find the probability of the random sample?According to the problem,
Mean = 35Standard Deviation = 8Sample = 36Here we need to find P(32.6 < x < 34.6)
Firstly we should find the z-score of 32.6 and 34.6[tex]z_{32.6}[/tex] = [tex]\frac{32.6-35}{\frac{8}{\sqrt{36} } }[/tex] = - 1.80
[tex]z_{34.6} = \frac{34.6-35}{\frac{8}{\sqrt{36} } }[/tex] = -0.30
∴ P(32.6 < x < 34.6) = P ( -1.80 < z < -0.30)
= P(z< -0.30) - P(z < -1.80)
= 0.3821 - 0.0359 = 0.3462
∴ The required probability is 0.3462
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Your cell phone bill just arrived. Your plan only allows you to send and receive 130 texts per month, but you sent and received 268 texts. Your plan charges you $0.05 per text sent on your plan, and then $0.25 for each text you send over your plan limit. How much money do you have to pay for the extra texts that you sent and received? What is your total bill?
Answer:
$34.5
Step-by-step explanation:
1. 268 - 130 = 138
2. 138 x .25 = 34.5
So Confused!! Somebody Plz Explain How To Do!!!!!!!
For the following system, use the second equation to make a substitution for y in the first equation.
3x + y = 1
y + 4 = 5x
What is the resulting equation?
A.) 3x + 5x - 4 = 1
B.) 3x + 4 - 5x = 1
C.) 3x + 5x + 4 = 1
Answer: A) 3x + 5x - 4 = 1
Step-by-step explanation:
The second equation is y + 4 = 5x. Solve this equation for y by subtracting 4 from both sides. --> y = 5x - 4
Now replace "y" in the first equation with "5x - 4".
3x + y = 1
--> 3x + (5x - 4) = 1