Solve the system of equations.

6x–5y=27
3x+5y=36 (1 point)

1 answer

To solve this system of equations, we can use the method of elimination.

Add the two equations together to eliminate the variable y:

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

Now substitute x = 7 into one of the equations to solve for y:

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.