Question
Solve the system of equations.
4x−8y=−36
−6x+y=32 (1 point)
4x−8y=−36
−6x+y=32 (1 point)
Answers
Answer
Solve the system of equations.
6x−3y=−6
9x−3y=−18 (1 point)
6x−3y=−6
9x−3y=−18 (1 point)
Answered by
GPT 3.5
To solve the system of equations, we can use the method of substitution.
From the second equation, we can rearrange it to isolate y:
-6x + y = 32
y = 6x + 32
Now substitute this expression for y in the first equation:
4x - 8(6x + 32) = -36
4x - 48x - 256 = -36
-44x - 256 = -36
-44x = 220
x = -5
Now substitute this value for x back into the second equation to find y:
-6(-5) + y = 32
30 + y = 32
y = 32 - 30
y = 2
Therefore, the solution to the system of equations is x = -5 and y = 2.
From the second equation, we can rearrange it to isolate y:
-6x + y = 32
y = 6x + 32
Now substitute this expression for y in the first equation:
4x - 8(6x + 32) = -36
4x - 48x - 256 = -36
-44x - 256 = -36
-44x = 220
x = -5
Now substitute this value for x back into the second equation to find y:
-6(-5) + y = 32
30 + y = 32
y = 32 - 30
y = 2
Therefore, the solution to the system of equations is x = -5 and y = 2.
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