Question

What is the solution? 1/4x-1/2y=8 1/2x+3/4y=-5

Answer 1

Answer: x=8; y=-12

Explanation:

1. You can apply the Elimination method:

- Mulitply the first equation by -2:

`-2(1/4x-1/2y)=8(-2)`

`-1/2x+y=-16`

- Sum both equations and solve for y:

`-1/2x+y=-16 \\1/2x+3/4y=-5\\----------\\7/4y=-21\\y=-12`

- Substitute the value obtained (y=-12) in one the original equations and then solve for x:

`1/4x-1/2(-12)=8\\1/4x=2\\x=8`