−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).