-6x+2y=-18. -3x-2y=54

x = -4

y = -21

Step-by-step explanation:

To solve this, we will need to set up a system of equations and get rid of a variable.

-3x - 2y = 54

-6x + 2y = -18

From this, we can see that the 'y' variables can be cancelled out if we add the two together. This means that we must add these equations to each other to cancel out the 'y' variables:

-3x - 2y = 54

-6x + 2y = -18

+

-9x = 36

x = -4

Since we have solved for 'x', we can simply plug this value into an equation to find 'y'.

-3(-4) -2y = 54

12 - 2y = 54

-2y = 42

y = -21.