SOLUTION: solve the system of equations by graphing. Then classify as consistent or inconsistent and as dependent or independent. 8x-5y=-25 5y-8x=25

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: solve the system of equations by graphing. Then classify as consistent or inconsistent and as dependent or independent. 8x-5y=-25 5y-8x=25      Log On


   



Question 422893: solve the system of equations by graphing. Then classify as consistent or inconsistent and as dependent or independent.
8x-5y=-25
5y-8x=25

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve the system of equations by graphing. Then classify as consistent or inconsistent and as dependent or independent.
8x-5y=-25
5y-8x=25
..
Change given equations into standard form for straight lines: y=mx+b
first equation:
8x-5y=-25
-5y=-8x-25
5y=8x+25
y=(8/5)x+5
..
second equation:
5y-8x=25
5y=8x+25
y=(8/5)x+5
..
As you can see, both equations are identical, that is, the lines coincide.
The equations are dependent,the system is consistent and has infinitely many solutions. See the graph below:
..
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%288%2F5%29x%2B5%29+