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lorasvet [3.4K]
4 years ago
11

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

Mathematics
1 answer:
Pachacha [2.7K]4 years ago
4 0

Answer:  x=8; y=-12


Step-by-step 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


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