SOLUTION: 9x-5y=-35 , 5y-9x=35. what is the solution to the system of equations? is the system consistant?

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: 9x-5y=-35 , 5y-9x=35. what is the solution to the system of equations? is the system consistant?      Log On


   

Question 147251: 9x-5y=-35 , 5y-9x=35. what is the solution to the system of equations? is the system consistant?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5y-9x=35 Start with the second equation.


-9x%2B5y=35 Rearrange the terms.



So we have the given system of equations:

system%289x-5y=-35%2C-9x%2B5y=35%29


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


%289x-5y%29%2B%28-9x%2B5y%29=%28-35%29%2B%2835%29


%289x%2B-9x%29%2B%28-5y%2B5y%29=-35%2B35 Group like terms.


0x%2B0y=0 Combine like terms. Notice how the x terms cancel out.


0=0Simplify.


Since 0=0 is always true, this means that there are an infinite number of solutions. So the system is consistent and dependent.