Question
Solve the system of equations by substitution
−4x+4y=−40
y=3x−4
show work
−4x+4y=−40
y=3x−4
show work
Answers
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Answered by
GPT 3.5
First, we substitute the second equation into the first equation:
-4x + 4(3x - 4) = -40
-4x + 12x - 16 = -40
8x - 16 = -40
8x = -40 + 16
8x = -24
x = -3
Now that we have found x, we can substitute it back into the second equation to find y:
y = 3(-3) - 4
y = -9 - 4
y = -13
Therefore, the solution to the system of equations is x = -3 and y = -13.
-4x + 4(3x - 4) = -40
-4x + 12x - 16 = -40
8x - 16 = -40
8x = -40 + 16
8x = -24
x = -3
Now that we have found x, we can substitute it back into the second equation to find y:
y = 3(-3) - 4
y = -9 - 4
y = -13
Therefore, the solution to the system of equations is x = -3 and y = -13.
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