SOLUTION: 9x-4y=8 4y-9x=-8 consistant or inconsistant dependant or independant What is the solution of the system of equations a. infinetly many solutions b. a point c. no solution

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: 9x-4y=8 4y-9x=-8 consistant or inconsistant dependant or independant What is the solution of the system of equations a. infinetly many solutions b. a point c. no solution      Log On


   

Question 147333: 9x-4y=8
4y-9x=-8
consistant or inconsistant
dependant or independant
What is the solution of the system of equations
a. infinetly many solutions
b. a point
c. no solution
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4y-9x=-8 Start with the second equation.


-9x%2B4y=-8 Rearrange the terms.


So we have the system of equations:


system%289x-4y=8%2C-9x%2B4y=-8%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-4y%29%2B%28-9x%2B4y%29=%288%29%2B%28-8%29


%289x%2B-9x%29%2B%28-4y%2B4y%29=8%2B-8 Group like terms.


0x%2B0y=0 Combine like terms. Notice how the x and y 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.