SOLUTION: solve each system of equations then graph and identify if the system is inconsistent or dependent and show why x-3y=9 -x+3y=6

Algebra ->  Graphs -> SOLUTION: solve each system of equations then graph and identify if the system is inconsistent or dependent and show why x-3y=9 -x+3y=6       Log On


   

Question 243645: solve each system of equations then graph and identify if the system is inconsistent or dependent and show why
x-3y=9
-x+3y=6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system of equations:
system%28x-3y=9%2C-x%2B3y=6%29


Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:


%28x-3y%29%2B%28-x%2B3y%29=%289%29%2B%286%29


%28x-x%29%2B%28-3y%2B3y%29=9%2B6 Group like terms.


0x%2B0y=15 Combine like terms.


0=15Simplify.


Since 0=15 is never true, this means that there are no solutions.


So the system is inconsistent.