Solve using elimination.

8x − 3y = –10
–8x + 6y = –20

use (x,y)

4/16/2024 at 10:00 AM

1 answer

To solve using elimination, we can add the two equations together to eliminate the variable x:

8x - 3y = -10
-8x + 6y = -20
-----------------------
3y + 3y = -30
6y = -30
y = -5

Now substitute y = -5 back into one of the original equations to solve for x. Using the first equation:

8x - 3(-5) = -10
8x + 15 = -10
8x = -25
x = -25/8

Therefore, the solution is (x, y) = (-25/8, -5).