connexus help

What is the solution to the system of equations?

-2x + y = -5
3x – 2y = 12

(3, 1)(3, 1)
B (6, 3)(6, 3)
C (-2, -9)(-2, -9)
D (-2, -1)(-2, -1)
E no solution

1 answer

To solve the system of equations, we can use the method of substitution or elimination. Let's use substitution:

From the first equation:
y = 2x - 5

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

Now substitute the value of x back into the first equation to find y:
-2 + y = -5
y = -3

Therefore, the solution to the system of equations is (-2, -3). The correct answer choice is not listed, but closest would be answer choice D: (-2, -1).