Question

solve the system of equations 4x - 8y = -36

-6x + y = 32

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this system of equations, we will first solve one of the equations for one of the variables and then substitute that expression into the other equation to solve for the other variable.

Starting with the second equation:
-6x + y = 32
Rearranging this equation to solve for y:
y = 6x + 32

Now, substitute this expression for y into the first equation:
4x - 8(6x + 32) = -36
4x - 48x - 256 = -36
-44x - 256 = -36
-44x = 220
x = -5

Now that we have found the value of x, substitute it back into the expression we found for y:
y = 6(-5) + 32
y = -30 + 32
y = 2

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