Question

PLEASE HELP ME WITH THIS QUESTION

Answer 1

`x = -2\\y = -4`

Explanation:

Question

`\left \{ {{-2x + 2y = -4} \atop {3x + 3y = -18}} \right.`

Multiply throughout the equation to eliminate a variable:

`-2x + 2y = -4` becomes
`-6x + 6y = -12` when multiplied by 3

`3x + 3y = -18` becomes
`6x + 6y = -36` when multiplied by 2

Then add the values of the variables together:

`-6x + 6x = 0\\6y + 6y = 12y \\-12 - 36 = -48`

And a new equation forms:

`0 + 12y = -48`

`y = -4`

Plug in
`y` to any of the previous equations to solve for
`x` :

`-2x + 2y = -4`

`-2x + 2(-4) = -4`

`-2x - 8 = -4`

`-2x = 4`

`x = -2`

Answer 2

x = -2

y = -4

Explanation:

Graph the systems of equations. Then analyze the graph for the intersection. The point of intersection will be your solution set.