Question

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

one
two
infinitely many
none

Answer 1

how would you like to go about this?

Answer 2

parallel none
intersecting at one point one
parabolic two
overlapping many

Answer 3

first put them in slope intercept form
then see what it will look like

Answer 4

parallel lines
will never touch because if you ever notice
they have the same slope

lines intersecting
no matter how much they do not seem to intersect
they are bound to intersect at a point unless the line is not a function (vertical line)

^
parabolic lines |

overlapping
overlap at every point and have same intercept .....