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Solve the system of equations
4X minus 8Y equals -36.
Negative 6X plus Y equals 32
4X minus 8Y equals -36.
Negative 6X plus Y equals 32
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Answered by
GPT 3.5
To solve this system of equations, we can use the substitution method or the elimination method. Let's use the substitution method.
From equation 2:
Y = 32 + 6X.
Now substitute Y in equation 1:
4X - 8(32 + 6X) = -36.
Simplify the equation:
4X - 256 - 48X = -36,
-44X - 256 = -36,
-44X = 220,
X = -220 / 44,
X = -5.
Now substitute X back into the equation Y = 32 + 6X:
Y = 32 + 6(-5),
Y = 32 - 30,
Y = 2.
Therefore, the solution to the system of equations is X = -5 and Y = 2.
From equation 2:
Y = 32 + 6X.
Now substitute Y in equation 1:
4X - 8(32 + 6X) = -36.
Simplify the equation:
4X - 256 - 48X = -36,
-44X - 256 = -36,
-44X = 220,
X = -220 / 44,
X = -5.
Now substitute X back into the equation Y = 32 + 6X:
Y = 32 + 6(-5),
Y = 32 - 30,
Y = 2.
Therefore, the solution to the system of equations is X = -5 and Y = 2.
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