3x + 2y = a

5x + y = b

eliminating the variable y from the system of equations results in -7x =

2b - a
a + 2b
a - 2b

A - 2B

Step-by-step explanation:

3x + 2y = A

5x + y = B

The first equation has 2y. The second equation has y.

If you multiply the second equation by 2, it will have 2y.

Then you subtract teh second equation from the first equation.

2y - 2y = 0, so you eliminate the y variable.

3x + 2y = A

2(5x + y) = 2B

3x + 2y = A

10x + 2y = 2B

Subtract the second equation from the first equation.

3x + 2y - (10x + 2y) = A - 2B

3x - 10x + 2y - 2y = A - 2B

-7x = A - 2B

A - 2B