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castortr0y [4]
4 years ago
14

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

Advanced Placement (AP)
1 answer:
lbvjy [14]4 years ago
6 0

Answer:

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

Explanation:

2y=8-x

y-2x=-1

------------

Rearrange:

x = 8-2y

y = 2x-1

------------

Substitute to get:

y = 2(8-2y)-1

 y = 16-4y-1

5y = 15

y = 3

-------------------

Substitute to solve for "x":

x = 8-2(3)

x = 2

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