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

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) (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:
..

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