What is the solution to the system of equations?
-2x + y = -5
3x – 2y = 12
To solve the system of equations, we can use the method of substitution or elimination.
Let's use the substitution method:
-2x + y = -5 (equation 1)
3x - 2y = 12 (equation 2)
From equation 1, we can express y in terms of x:
y = 2x - 5
Next, we substitute this value of y into equation 2:
3x - 2(2x - 5) = 12
3x - 4x + 10 = 12
-x + 10 = 12
-x = 2
x = -2
Now, substitute this value of x back into equation 1 to find y:
-2(-2) + y = -5
4 + y = -5
y = -9
Therefore, the solution to the system of equations is x = -2 and y = -9.