SOLUTION: -16x+2y=-2 y=8x-1

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: -16x+2y=-2 y=8x-1       Log On


   

Question 144264This question is from textbook algebra 1
: -16x+2y=-2
y=8x-1
 This question is from textbook algebra 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system
-16x%2B2y=-2
y=8x-1



-16x%2B2%288x-1%29=-2 Plug in y=8x-1 into the first equation. In other words, replace each y with 8x-1. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


-16x%2B16x-2=-2 Distribute


-2=-2 Combine like terms on the left side


0=-2%2B2Add 2 to both sides


0=0 Combine like terms on the right side

Since this equation is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.