Solve the system of equations.

6x - 5y = 27

3x + 5y = 36 (1 point)

1 answer

Adding the two equations together, we have:

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

Combining like terms, we get:

9x = 63

Dividing both sides of the equation by 9, we find:

x = 7

Substituting this value into the second equation, we have:

3(7) + 5y = 36

21 + 5y = 36

Subtracting 21 from both sides, we get:

5y = 15

Dividing both sides of the equation by 5, we find:

y = 3

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