Solve the following system of equations using any method (substitution or elimination) SHOW YOUR WORK y = -2x + 3 -4x + 2y = 8

Question

asked Sep 24, 2024 100k views

1 Answer

JaKu · Answer 1 · 2024-09-29T06:51:08+0000

-1/4 = -0.25 and 7/2 = 3.5

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Work Shown:

Plug the 1st equation into the 2nd to solve for x.

-4x + 2y = 8

-4x + 2(-2x+3) = 8

-4x - 4x + 6 = 8

-8x + 6 = 8

-8x = 8-6

-8x = 2

x = 2/(-8)

x = -1/4

That's plugged into the other equation to determine y.

y = -2x + 3

y = -2(-1/4) + 3

y = 1/2 + 3

y = 1/2 + 6/2

y = (1+6)/2

y = 7/2