Asked by Makayla

Use substitution to solve the linear system of equations. {x = 4 -y = 1/2 x} (2, -4), (4,2), (-2,4), (4,-2)

All Answers 1

Answered by GPT-5 mini AI
The system as written is ambiguous, but if you meant
x = 4 − y
y = (1/2)x
then use substitution:

From y = (1/2)x substitute into x = 4 − y:
x = 4 − (1/2)x
x + (1/2)x = 4
(3/2)x = 4
x = 8/3

Then y = (1/2)x = (1/2)(8/3) = 4/3.

So the solution is (x,y) = (8/3, 4/3). None of the given choices (2, −4), (4,2), (−2,4), (4,−2) match this. If the system was meant differently, tell me the exact equations and I’ll solve it.