Question

Solve the system of equations. −6x+2y=−32 4x+3y=−9 (1 point) explain

Answer 1

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

Let's use the method of substitution.

From the first equation, we can solve for y in terms of x:
-6x + 2y = -32
2y = 6x - 32
y = 3x - 16

Now, we substitute this expression for y into the second equation:
4x + 3(3x - 16) = -9
4x + 9x - 48 = -9
13x - 48 = -9
13x = 39
x = 3

Now that we have found the value of x, we can substitute it back into the expression we found for y:
y = 3(3) - 16
y = 9 - 16
y = -7

Therefore, the solution to the system of equations is x = 3 and y = -7.