Answer: x=8; y=-12
Step-by-step explanation:
1. You can apply the Elimination method:
- Mulitply the first equation by -2:
[tex]-2(1/4x-1/2y)=8(-2)[/tex]
[tex]-1/2x+y=-16[/tex]
- Sum both equations and solve for y:
[tex]-1/2x+y=-16 \\1/2x+3/4y=-5\\----------\\7/4y=-21\\y=-12[/tex]
- Substitute the value obtained (y=-12) in one the original equations and then solve for x:
[tex]1/4x-1/2(-12)=8\\1/4x=2\\x=8[/tex]
