Question

Solve the system of equations.
4x−8y=−36
−6x+y=32

Answer 1

To solve the system of equations, we can use the method of substitution.

From the second equation, we can express y in terms of x:
-6x + y = 32
y = 6x + 32

Now, we substitute this expression for y in the first equation:
4x - 8(6x + 32) = -36

Simplifying the equation:
4x - 48x - 256 = -36
-44x - 256 = -36

Adding 256 to both sides of the equation:
-44x = 220

Dividing both sides by -44:
x = -5

Substituting this value of x back into the second equation to find y:
-6(-5) + y = 32
30 + y = 32

Subtracting 30 from both sides:
y = 2

Therefore, the solution to the system of equations is x = -5 and y = 2.