Question

tell how many solutions the system of equations would have 6x - 2y = -8

Answer 1

All solutions.

Answer 2

Do you know how to solve this equation?

Answer 3

6x-2y=-8
-6x -6x Subtract 6 from both sides.

-2y/-2=-8-6x/-2 Divide by -2.

y=4+3x Now you have y.

6x-2(4+3x)=-8 Plug in 4+3x into y in 6x-2y=-8.

6x-8-6x=-8 Since -8 + 8 = 0 cancel the number out.
+8 +8

6x-6x=0 Since 6x-6x it will become 0 so you just cancel it out.

0=0 Every time you get 0=0, this means that any number can be a solution.

Answer 4

Nice work!