Question

What is the solution of 2y=8-x and y-2x=-1

Answer 1

2y=8-x

y-2x=-1

y-2x=-1

y = 2x-1

Substitute for y in the 1st

2(2x-1)=8-x

4x-2=8-x

5x = 10

x = 2

y=2x-1

y = 3

Step-by-step explanation:

2y=8-x

y-2x=-1

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Rearrange:

x = 8-2y

y = 2x-1

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Substitute to get:

y = 2(8-2y)-1

y = 16-4y-1

5y = 15

y = 3

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Substitute to solve for "x":

x = 8-2(3)

x = 2