Solve the system of equations. 6x-5y=27 3x+5y=36
To solve this system of equations, we will 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 use 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.