Question

What is the solution to the system of equations? -2x + y = -5 3x – 2y = 12 Responses A (3, 1)(3, 1) B (6, 3)(6, 3) C (-2, -9)(-2, -9) D (-2, -1)(-2, -1) E no solution

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

First, we will solve for y in the first equation:
-2x + y = -5
y = 2x - 5

Now, substitute this expression for y into the second equation:
3x - 2(2x - 5) = 12
3x - 4x + 10 = 12
-x + 10 = 12
-x = 2
x = -2

Now that we have found the value of x, we can substitute it back into the first equation to find the value of y:
-2(-2) + y = -5
4 + y = -5
y = -9

Therefore, the solution to the system of equations is (-2, -9), which corresponds to answer choice C.