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

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) (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

RELATED QUESTIONS
Solve the system of equations by graphing. Then classify the system as consistent or... (answered by Alan3354)

9x-8y=32 8y-9x=-32 what is the solution of the system equations a no solution b... (answered by Fombitz)

9x - 8y = 56 8y - 9x = -56 is the solution a point, no solution or infinitely many... (answered by stanbon)

solve the system of equations by graphing. Then classify the system as consistent or... (answered by Alan3354)

Solve the system of equations: 6x-4y=-16 and 4y-6x=16 and is the system consistent or... (answered by mathgranny)

Solve the system of equations by graphing. Then classify the system as consistent or... (answered by solver91311)

Graph each system of equations and find any solutions. Check your answers. Identify the... (answered by Fombitz)

Solve the system of equations by graphing. Then classify the system as consistent or... (answered by Gogonati)

solve the system of equations by graphing.then classify the system as consistent or... (answered by Fombitz)