Answer: The solution to the system of equations is x = 7 and y = -2.
Explanation:
The system of equations can be solved using substitution method.
First, solve one of the equations for one of the variables. For example, from the first equation, we can solve for x:
x = (-39 - y)/6
Substitute this value of x into the second equation:
3((-39 - y)/6) + 2y = -15
Solve the resulting equation for y:
-13 - y/2 + 2y = -15
y = -2
Substitute this value of y back into the equation we used to solve for x:
x = (-39 - (-2))/6
x = 7
The solution to the system of equations is x = 7 and y = -2.