Solve the system using elimination.

2x + 18y = - 9

4x + 18y = - 27

First, let's cancel out the x by multiplying 2x + 18y = - 9 by - 2.

-2 (2x + 18y = - 9) = - 4x - 36y = 18

Then, we combine the two equations.

-4x + 4x = 0

18y - 36y = - 18y

-27 + 18 = - 9

Our new equation is - 18y = - 9.

Now, divide both sides by - 18.

-18y / - 18 = y

-9 / - 18 = 1/2

y = 1/2

We can plug in a value for y since y = 1/2 now.

Let's use 2x + 18y = - 9

Plug in y.

2x + 18 (1/2) = - 9

2x + 9 = - 9

Then, subtract 9 from both sides.

2x = - 18

Divide by 2.

2x/2 = x

-18/2 = - 9

x = - 9

Lastly, we can plug in both x and y values to see it works.

2 (-9) + 18 (1/2) = - 9

-18 + 9 = - 9

Therefore, the values of x and y does work.

x = - 9

y = 1/2