Question

How many solutions does the system have?

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

Answer 1

row reduce to echelon form and find out.

Answer 2

It can have one solution, infinite number of solutions or a unique solution,

Answer 3

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

first equation can be re-written as x+4y=4

inorder to solve it we multiply this equation by 2
2(x+4y)=2(4)
2x+8y=8

since both equations are same
you have infinitely many solutions

Answer 4

i had actually just worked this out when you both replied. thanks to both of you!

Answer 5

@Diyadiya I would avoid using the term the "same" in solving system of equations. A better term would be the first equation is a scalar multiple of the second one.

Answer 6

@Romero
Oh Sorry!
Thanks for the correction :)