Answer:
(x, y) = (-3, -1)
Step-by-step explanation:
The y-coefficients are opposites in the two equations, so it is convenient to add the equations to eliminate the y-variable.
(5x -3y) +(2x +3y) = (-12) +(-9)
7x = -21 . . . . . . . simplify
x = -3 . . . . . . . . . divide by 7
Substituting into the second equation gives ...
2(-3) +3y = -9
-2 +y = -3 . . . . . . divide by 3
y = -1 . . . . . . . . . . add 2
The solution is (x, y) = (-3, -1).
