the sum of two numbers is 15 and their difference is 7, What are the two numbers

Answers

Answer 1
These numbers are 11 and 4

11+4=15
11-4=7
Answer 2
Greetings!

Let x represent the first number
Let y represent the second number

Create a system of equations, representing the problem:
[tex] \left \{ {{x+y=15} \atop {x-y=7}} \right. [/tex]

Use elimination to solve:
[tex]+ \frac{\left \{ {{x+y=15} \atop {x-y=7}} \right. }{2x=22} [/tex]

Divide both sides by 2.
[tex]2x=22[/tex]
[tex] \frac{2x}{2}= \frac{22}{2} [/tex]
[tex]x=11[/tex]

Solve for the other variable:
[tex]x+y=15[/tex]
[tex]11+y=15[/tex]
Add -11 to both sides.
[tex](11+y)+(-11)=(15)+(-11)[/tex]
[tex]y=4[/tex]

The Solution to this Problem is:
[tex] \left[\begin{array}{ccc}x=11,y=4\end{array}\right] [/tex]

The numbers are 11 and 4.

Hope this helps.
-Benjamin

Related Questions

Find the scale factor of the line segment dilation.

AB: endpoints (−6, −2) and (−6, 8) to A'B': endpoints at (−6, 0) and (−6, 5), centered at the (−6, 2)

a) -2
b) -1/2
c) 2
d) 1/2

Answers

AB: endpoints (−6, −2) and (−6, 8) to A'B': endpoints at (−6, 0) and (−6, 5), centered at the (−6, 2)

a) -2
b) -1/2
c) 2
☆☆☆☆☆☆☆d) 1/2

Catie used 68 beads on 17 in of wire. She used 7 in of wire for one bracelet. Predict the number of beads she used on 7 in of wire. EXPLAIN

Answers

Catie used 28 beads on the 7 in. wire because when you divide 68÷17 you get 4 which means that she used 4 beads every 1 in. Then you multiply 4×7 because that's how much we need to figure out and you get 28.

The formula P =6s gives the formula for the perimeter of a regular hexagon with sides length s. What is the perimeter of a regular hexagon with side length 3.4 cm?

Answers

If P=6s, then P=6(3.4) which would be P=20.4 cm

maggie has only dimes and quarters in her purse. she has 27 coins with a total value of 4.05. how many dimes does maggie have in her purse

Answers

d + q = 27.....q = 27 - d
0.10d + 0.25q = 4.05

0.10d + 0.25(27 - d) = 4.05
0.10d + 6.75 - 0.25d = 4.05
0.10d - 0.25d = 4.05 - 6.75
-0.15d = - 2.70
d = -2.70/ - 0.15
d = 18 <=== Maggie has 18 dimes 
and (27 - 18) = 9 quarters

By solving a system of equations, we will see that Maggie has 18 dimes and 9 quarters.

How to write the system of equations?

First, we define the variables that we will use:

D = number of dimes.Q = number of quarters.

There are a total of 27 coins, so:

Q + D = 27.

The total value is 4.05, so:

Q*0.25 + D*0.10 = 4.05

Then our system of equations:

Q + D = 27

Q*0.25 + D*0.10 = 4.05

To solve this we need to isolate one of the variables in one of the equations, I will isolate Q in the first one.

Q = 27 - D

Now we can replace this on the other equation and solve it for D:

(27 - D)*0.25 + D*0.10 = 4.05

6.75 - D*0.25 + D*0.10 = 4.05

6.75 - D*0.15 = 4.05

6.75 - 4.05 = D*0.15

2.70 = D*0.15

2.70/0.15 = D = 18

So she has 18 dimes, and then the other 9 conis must be quarters.

If you want to learn more about systems of equations, you can read:

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Can someone please help me?

Answers

13) is 6, 12, 18, 24, 30

14) is 9, 18, 27, 36, 45

I'm sorry but I don't get 10 and 11

what is the value f(-4)?
{-10 if x < -5
{x cubed if -5 less than or equal to x less than or equal to < 2
{2x + 4 if x > 2

a. -10
b. -12
c. -64
d. -4

Answers

Answer: choice C) -64

-------------------------------------
-------------------------------------

This is a piecewise function. The function f(x) will change based on what x happens to be. There are 3 different cases here

Case A: f(x) = -10
Case A is only true if x < -5

Case B: f(x) = x^3
Case B is only true if -5 <= x <= 2
The symbol "<=" without quotes means "less than or equal to"

and finally, 
Case C: f(x) = 2x+4
Case C is only true if x > 2

-------------------------------------

We want to find the value of f(-4) meaning we want to find the value of f(x) when x = -4

Look through the inequalities and see where x = -4 fits

does x = -4 make x < -5 true? In other words, is -4 smaller than -5? In other words is -4 to the left of -5? The answer to all of these questions is a simple "no"

So we move on. Check the second inequality -5 <= x <= 2 and sure enough -4 is between those two endpoints. So we'll use the second function

We will use f(x) = x^3

f(x) = x^3
f(-4) = (-4)^3 .... every x has been replaced with -4
f(-4) = (-4)*(-4)*(-4) ... expand out the cubic
f(-4) = ((-4)*(-4))*(-4)
f(-4) = (16)*(-4)
f(-4) = -64

Which is our final answer

PLEASE ANSWER ASAP (10 Pts)
Solve for x.
x+3.2=−3.5
Enter your answer as a decimal in the box.

Answers

x + 3.2  = - 3.5
   -3.2        -3.2

x = - 6 . 7 
the answer to this question  is -6.7

Frank earns $57,100 one year and receives a 7% raise in salary.what is his new salary?

Answers

you need to multiply 57100 by 0.07 = 3997
and then add 3997+57100 = $61,097

A farmer has 113 sheep. 47 of them are males. How many more female sheep are there than male sheep?

Answers

Considering the rest of the sheep are females, you just subtract 47 from 113.

Answer:

19

Step-by-step explanation:

What is the product of 7.5 and 1,000?

Answers

the correct answer is 7,500.
You could put into a calculator OR
a handy trick with 10's (10, 100, 1000, etc.) is that you take the number of 0's in the number and move the decimal to the right that many times!

7.5 x 1000 = 7,500
(as there are 3 zeros in 1000, you move the decimal to the right by 3)

After the charity walk, Janey talked with friends from 11:25 A.M to 11:40 A.M Then lunch was served from 11:45 A.M until 2:10 P.M How long did lunch last?

Answers

2 hours 25 minutes. Hope this helped.

7y-23 plus 23x-16 plus 8x-21 show steps  find x and Y 

Answers

7y-23+23x-16+8x-21
7y-23+31x-16-21
7y-23+31x-(-5)
7y−60+31x

Factor the linear expression 15x + 6

Answers

The answer would be, "3(5x+2)" 

If angle PDQ equals 23 degrees and angle SDQ equals 11 degrees what is angle PDS?

Answers

It would be 31 hope this helps

A grocery store bought milk for $2.20 per half gallon and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 13half gallons. If the remaining milk is sold for $4.04per half gallon, how many half gallons did the store buy if they made a profit of $116.76?

Answers

Total of 92 half gallons of milk they bought.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say they bought x half a gallon of milk.

Cost of buying

x × 2.20 = 2.2x

Since 13 half gallons were destroyed so

Remaining = x - 13

The selling price of remaining milk ⇒

(x - 13) × 4.04

Now,

Profit = selling price - cost of buying.

116.76 = (x - 13) × 4.04 - 2.2x

4.04x - 2.2x - 52.52 = 116.76

1.84 x = 169.28

x = 92

Hence "Total of 92 half gallons of milk they bought".

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#SPJ2

Help please

50 Points (10 points each) To receive full credit, each of your answers MUST include a correct unit such as mph, miles, hours, etc.

1. Hannah traveled 487 miles during an 11 hour road trip. What was her average speed during the trip (Round to the nearest tenth)?

2. Edward traveled for 8 hours at an average speed of 56 miles per hour. How far did he travel?

3. Maria traveled 687 miles at an average speed of 70 miles per hour. How long was she traveling (Round to the nearest hour)?

4. Jesse traveled for 13 hours at an average speed of 45 miles per hour. How far did he travel?

5. Rachael traveled 216 miles at an average speed of 45 miles per hour. How long was she traveling (Round to the nearest hour)?

Answers

1: 7 mph
 2: 448=distance
 3: 10 hours
 4:  585=distance
 5: 5= hours

1. 44.3 mph

2.448 miles in total

3.he traveled approximately 10 hours

4. 585 miles

5. she was traveling for 5 hours

square root of 5 rounded to the nearest tenth

Answers

the square root of 5 is 2
That is the square root of five. Rounded to the nearest tenth, it would be 2.2. Hope this helped!

Thank you, will give brainliest.

Answers

(7,6) is the answer of your question
Please mark as brainiest 

If y = 2x-3 find the value of y when x= 2

Answers

2x-3=y
y=2*2-3=
y=4-3
y=1

Which of the following shows the correct order of the number below (1/2)^2, 2/3,0.45

A. (1/2)^2<0.45<2/3
B. (1/2)^2<2/3<0.45
C. 0.45<(1/2)^2<2/3

Answers

I already have it all translated into decimals.. so I hope this helps

the answer is A   

hope thip helps

Keisha is working on a math worksheet with 50 problems. She has completed 20 problems in 25 minutes. If she continues at the same pace, what will the total time be for her to complete the worksheet? A) 31.25 minutes B) 62.5 minutes C) 70 minutes D) 75 minutes Elim

Answers

You first divide 25 by 20 = 25/20= 1.25 That means it takes her 1 minute and 25 seconds to do one question. (unit rate) Then you multiply 1.25 by 50 which equals 62.5 so it'll take her 62 minutes and 30 seconds so B is your answer :)


We have that the total time be for her to complete the worksheet is mathematically given as

x=62.5minutes

Time

Question Parameters:

Keisha is working on a math worksheet with 50 problems.

She has completed 20 problems in 25 minutes.

Generally has completed 20 problems in 25 minutes.

20=25

50=x

Therefore

[tex]x=\frac{5-*25}{20}[/tex]

x=62.5minutes

For more information on Time visit

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46/23 in simplest form

Answers

Answer:

46/23 = 2/1 = 2

Step-by-step explanation:

is (3)(4)+xy equivalent to 3x+4y

Answers

no it is not because the x's and y's wouldnt be the same because on the left it would be 12+xy not 3x+4y

Beth poured the same amount of juice into 10 glasses she use to quarts of juice how much juice is in each class

Answers

Do you mean two quarts?
If so,

(2 qt)/10 = 2/10 qt = 1/5 qt

She poured 1/5 qt in each glass.

What are the two numbers less than 20 with the most factors

Answers

I think it's 12 and 18.
They both have 6 factors.

Final answer:

The two numbers less than 20 with the most factors are 12 and 18, as each of them has six factors.

Explanation:

The question you're asking pertains to identifying the two numbers less than 20 that have the most factors. To find the numbers with the most factors, we list the number of factors for each number less than 20 and determine which have the most. Factors are the numbers you can multiply together to get another number. For example, 2 and 5 are factors of 10 because 2 x 5 = 10.

The number 12 has the factors 1, 2, 3, 4, 6, and 12, totaling 6 factors. On the other hand, the number 18 has the factors 1, 2, 3, 6, 9, and 18, also totaling 6 factors. Hence, the two numbers with the most factors less than 20 are 12 and 18, each with six factors.

what is 645 divided by 5

Answers

645/5 = 129 
thats the answer
You could do this on your hands but it would take forever and I don't think you have enough fingers. 50 / 5=10 so do that 12 more times.

600 / 5=120

45 / 5= 9

so it should be 129.


What does 10/2-3(5•0) equal to?

Answers

Quick answer 5.

Start with what is inside the brackets.

5*0 = 0

10/2 - 3(0) Anything times 0 is 0. the three disappears.

10/2 = 5 And that is your answer.

A number cube is rolled and a marble is selected at random from the bag at he right. Determine each probability.

Answers

wheres the bag and everything else


Numbers a,b,c,d are positive integers, theirs product is 128. What is their sum?

Answers

There's actually multiple solutions:

16*2*2*2 = 128, sum is 22
4*4*4*2 = 128, sum is 14
8*2*2*4 = 128, sum is 16

Professor Bartlett teaches a class of 12 students. She has a visually challenged​ student, Louise, who must sit in the front row next to her​ tutor, who is also a member of the class. Assume that the front row has seven ​chairs, and the tutor must be seated to the right of Louise. How many different ways can Professor Bartlett assign students to sit in the first​ row

Answers

Final answer:

Professor Bartlett can arrange the students in 1,440 different ways in the first row, considering Louise must sit next to her tutor on the right.

Explanation:

Professor Bartlett teaches a class of 12 students and needs to seat them in the front row which consists of 7 chairs. Specifically, Louise, who is visually challenged, must sit next to her tutor on the right side. To determine the number of different ways the students can be seated in the first row, we first consider the places of Louise and her tutor. Since Louise's tutor must be seated to her right, they can be viewed as a single entity with two internal arrangements: Louise on the left and the tutor on the right. Therefore, there are now effectively 6 entities to arrange (Louise and her tutor considered as one, plus the 5 other students) in 6 chairs in the front row.

The number of ways to arrange 6 entities in 6 spots is calculated by 6 factorial (6!), which equals 720. However, since Louise and her tutor can switch places within their designated spot, we must multiply this number by the 2 internal arrangements possible, resulting in 720 * 2 = 1,440 different seating arrangements for the first row.

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