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

Question

pinksapphire · Answer

All solutions.

yanasidlinskiy · Answer

Do you know how to solve this equation?

pinksapphire · Answer

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.

yanasidlinskiy · Answer

Nice work!