how many solutions does each system have?

3. x = –4y + 4

2x + 8y = 8 (1 point)

one
two
infinite
none

Question

how many solutions does each system have?

3.   x = –4y + 4

2x + 8y = 8  (1 point)

one
two
infinite
none

hoblos · Answer

infinite

hero · Answer

lol, correct. I goofed up. It's the same graph

hero · Answer

It's infinite because

You can take the first equation x = -4y + 4, multiply the whole thing by two to get: 

2y = -8y + 8

Then add 8y to both sides to get:

2y + 8y = 8

Hey, what do you know? It becomes the same as the second equation. Two equations that are the same have the same solutions, therefore the solution is infinite.