Question

Determine that the system of equation below has infinitely many solutions
x=4y-4 2x-8y=-24

Answer 1

-24=-24

Explanation:

x=4y-4 sets up very nicely for the substitution method of solving, we can plug it into 2x-8y=-24 like this:

2(4y-4)-8y=-24

8y-24-8y=-24

Combine like terms:

-24=-24

This equation is always true, so infinitely many solutions has been proven