Answer:
(x, y) = (6, -9)
Explanation:
Add the two equations to eliminate the y-variable:
(3x +5y) +(-7x -5y) = (-27) +(3)
-4x = -24 . . . simplify
x = 6 . . . . . . divide by -4
Substitute this value of x into the first equation and solve for y:
3(6) +5y = -27
5y = -45 . . . . . . . subtract 18
y = -9 . . . . . . . . . divide by 5
The solution to this system of equations is (x, y) = (6, -9).