Final answer:
The sum of the given equations 2x + 3y = -3 and x + 2y = 2 is -5. So the correct answer is option C.
Step-by-step explanation:
To find the sum of the given equations, we need to solve the system of equations.
First, let's solve equation 2x + 3y = -3 for x:
2x = -3 - 3y
x = (-3 - 3y) / 2
Now, substitute this value of x into the second equation x + 2y = 2:
((-3 - 3y) / 2) + 2y = 2
Multiply both sides by 2 to eliminate the fraction:
-3 - 3y + 4y = 4
Simplify the equation:
y = 7
Substitute this value of y back into the first equation to find the value of x:
2x + 3(7) = -3
2x + 21 = -3
2x = -24
x = -12
Therefore, the sum of the given equations is -12 + 7 = -5.