Solve the system of equations.

6x–5y=27
3x+5y=36(1 point)
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1 answer

First, we will 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 original 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
y = 3