Solve the system of equations.

6x-5y = 27

3x + 5y = 36

1 answer

To solve this system of equations, first 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. Let's substitute x = 7 into the first equation:

6(7) - 5y = 27
42 - 5y = 27
-5y = -15
y = 3

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