ASAP BRAINLIEST 1- One number is 10 less than twice another. If their difference is 31, what is the larger number?

87
72
75

2-

Given the system of equations, what is the solution?

2x + y = 7
2x - 3y = -1

{( , 2)}
{(2, )}
{(1, )}

3-

Which of the following systems is equivalent to the given system?

x - y = 1
x + y = -1

2x - 3y = 6 and 4x + y = 4
4x - 3y = 6 and 4x - y = -4
4x + 3y = -6 and 4x - y = 4

4- Given the system of equations, match the following items.

2x + y = -1
x - 5y = 4

5-
If the second equation is multiplied by 5 and then the equations are added, the result is .

x + 5y = 3
2x - y = -2

9x = 13
11x = -7
9x = -7

See answers below with explanations

Step-by-step explanation:

Problem 1:

One number is 10 less than twice another.

This translates to n=2m-10

Their difference is 31

This translates to n-m=31

n-m=31

(2m-10)-m=31

m-10=31

m=41

n-41=31

n=72

Therefore the larger number is (B) 72

Problem 2:

Use elimination:

 2x + y = 7

- 2x -3y = -1

       4y = 8

         y = 2

2x+2=7

2x=5

x=2.5

Therefore the solution is (A) {(2.5,2)}

Problem 3:

Use elimination:

  x - y = 1

-  x + y = -1

      -2y = 2

Check if each answer eliminates to -2y=2:

2x - 3y = 6

4x +  y = 4

-2x - 4y = 2 NO

4x - 3y = 6

4x -   y = -4

    -2y = 10 NO

4x + 3y = -6

4x -   y =  4

      4y = -10 NO

Neither answer is correct

Problem 4:

No visible items to match

Problem 5:

2(2x - y = -2)

4x - 2y = -4

x + 5y = 3

4x - 2y = -4

5x + 3y = -1

None of the answer choices are correct

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