To solve the system of equations using the elimination method:
Multiply both sides of the first equation by 3:
15x + 6y = -9
Multiply both sides of the second equation by -2:
-6x - 6y = -18
Add the two equations together to eliminate y:
15x + 6y = -9
-6x - 6y = -18
9x = -27
Divide both sides by 9 to solve for x:
9x / 9 = -27 / 9
x = -3
Substitute the value of x into one of the original equations to solve for y:
5x + 2y = -3
5(-3) + 2y = -3
-15 + 2y = -3
2y = 12
y = 6
Therefore, the solution to the system of equations is x = -3, y = 6.