Question

How many solutions does the system have?

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

Answer 1

Solutions

To solve the system lets use substitution


`2x+8y=8`


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


`8=8`

This is a dependent system.

------------ Now lets solve the same system using Elimination

Our first step will be to multiply the given system by 2


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


`0=0`

There are Infinitely Many Solutions