Question

What is the solution of the system? Use elimination. 5x = -30 + 5y 20y = 105 + 5x 0 (-1,4) D5, 20) KO (-1, 5) (5.-1)​

Answer 1

First, we will use elimination to solve for y.

`5x = -30 + 5y\\20y = 105 + 5x\\\\5x - 5y = -30\\-5x + 20y = 105\\\\15y = 75\\\\y = 5`

Now, we will use what we got for y to solve for x.

`5x = -30 + 5(5)\\\\5x = -30 + 25\\\\5x = -5\\\\x = -1`

Solution:

`(-1, 5)`