Question

How many solutions does the system have?
x= -4y + 4 and 2x + 8y = 8

Answer 1

substitute for x in the second equation with the given value of x and solve for y.

x = -4y + 4

2(-4y+4) + 8y = 8

Answer 2

Thank you,

I tried but it looked to me that there were only two ways to solve this.

Answer 3

What did you get?

Answer 4

when everything on both sides equal the same thing like
2x + 5=2x + 5

or 3x - 5 = 3x - 5
you have infinite solutions.

Answer 5

in this case:

2(-4y+4) + 8y = 8
distribute:

-8y + 8 + 8y = 8
simplify
8 = 8
0=0
you have infinite solutions.

Answer 6

I think I miss one of the steps. Okay. I forgot to simplify

Answer 7

Thank you for helping understand this better.