Solve using elimination.–8x − y = –16–2x − 2y = –18

Sure, let's solve the system of equations using elimination.

The system of equations is:

-8x - y = -16 -2x - 2y = -18

First, we can simplify the second equation by dividing every term by -2:

-2x/-2 - 2y/-2 = -18/-2 x + y = 9

Now we have the system of equations:

-8x - y = -16 x + y = 9

Next, we add the two equations together to eliminate y:

-8x - y + x + y = -16 + 9 -7x = -7

Then, we solve for x by dividing every term by -7:

-7x/-7 = -7/-7 x = 1

Substitute x = 1 into the second equation:

1 + y = 9 y = 9 - 1 y = 8

So, the solution to the system of equations is x = 1 and y = 8.