Question

How many solutions does the system have?

x = -4y + 4
2x + 8y = 8

Answer 1

if you rearrange it into the same format as the other equation
either ax+by=c
or
ay=bx+c

so if you have

x = -4y + 4
2x + 8y = 8

and rearrange to

x + 4y =4
2x + 8y = 8

now take the same steps as you would for solving simultaneous equations

multiply equation 1 by 2 to get

2x+8y=8
2x+8y=8

you can see they are the same line so this means they have infinitely many solutions