SOLUTION: Solve the system by addition or substitution. -9x - 3y = 22 y = -3x - 6

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the system by addition or substitution. -9x - 3y = 22 y = -3x - 6      Log On


   

Question 165439: Solve the system by addition or substitution.
-9x - 3y = 22
y = -3x - 6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system
-9x-3y=22
y=-3x-6



-9x-3%28-3x-6%29=22 Plug in y=-3x-6 into the first equation. In other words, replace each y with -3x-6. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


-9x%2B9x%2B18=22 Distribute


18=22 Combine like terms on the left side


0=22-18Subtract 18 from both sides


0=4 Combine like terms on the right side


Since this equation is never true for any x value, this means there are no solutions.