To solve this system of equations, we can use either the substitution method or the elimination method. We will use the elimination method in this case.
1. Multiply the second equation by 4 to make the coefficients of y in both equations equal:
-6x + y = 32
4(-6x + y) = 4(32)
-24x + 4y = 128
2. Add the two equations together to cancel out the y variable:
4x - 8y = -36
-24x + 4y = 128
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-20x = 92
x = -92/20
x = -4.6
3. Substitute the value of x back into the second equation to solve for y:
-6(-4.6) + y = 32
27.6 + y = 32
y = 32 - 27.6
y = 4.4
Therefore, the solution to the system of equations is x = -4.6 and y = 4.4.
Solve the system of equations
4x-8y=-36
-6x+y =32
1 answer