Solve the system of equations . 6x - 5y = 27; 3x + 5y = 36 ( 1 point )

To solve this system of equations, we can add the two equations together to eliminate the variable y:

(6x - 5y) + (3x + 5y) = 27 + 36
9x = 63
x = 7

Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y:

3(7) + 5y = 36
21 + 5y = 36
5y = 15
y = 3

Therefore, the solution to the system of equations is x = 7 and y = 3.