To solve this system of equations, let's use the method of substitution or elimination:
We'll start with the substitution method. From the first equation, we can solve for y:
-2x + y = -5
y = 2x - 5
Now, we can substitute this expression for y in the second equation:
3x - 2(2x - 5) = 12
3x - 4x + 10 = 12
-x + 10 = 12
-x = 2
x = -2
Substituting this value of x back into the first equation, we can solve for y:
-2(-2) + y = -5
4 + y = -5
y = -9
Therefore, the solution to the system of equations is (-2, -9).
Hence, the correct answer is C. (-2, -9)(-2, -9).
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 solutionno solution
1 answer