SOLUTION: Solve the sytem of equation. 9x-8y=-16 8y-9x=16 Is the system consistent or inconsistent? Are the equations independent or dependent?

Algebra ->  Graphs -> SOLUTION: Solve the sytem of equation. 9x-8y=-16 8y-9x=16 Is the system consistent or inconsistent? Are the equations independent or dependent?      Log On


   



Question 215735: Solve the sytem of equation.
9x-8y=-16
8y-9x=16
Is the system consistent or inconsistent?
Are the equations independent or dependent?

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the sytem of equation.
9x-8y=-16
8y-9x=16

Is the system consistent or inconsistent? Consistent since both equations will give the same answer which is many solutions in this example. No contradictiion takes place since both equations are really the same as described below.
Are the equations independent or dependent? The second equation is just the negative of the first equation because adding those equations leads to 0=0. So they are dependent.

I hope the above explanations were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J