−6x + 3y = 18

4x − 3y = 6

To solve this system of equations, we can use the elimination method. Adding the two equations will eliminate the y-variable:

(-6x + 3y) + (4x - 3y) = 18 + 6

Simplifying and solving for x:

-2x = 24

x = -12

Substituting x = -12 into one of the original equations, we can solve for y:

-6(-12) + 3y = 18

72 + 3y = 18

3y = -54

y = -18

Therefore, the solution to the system of equations is (x, y) = (-12, -18).