Solve the system of equations.

Question

6x - 5y = 27
3x + 5y = 36 (1 point)

Answer 1

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 x, we can substitute 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.