SOLUTION: Solve the system of equations by graphing. Then classify the system consistent or nonconsistnt, and the equations dependent or independent. 3x - 9y = 54 2x - 6y = -2 Will aomeon

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the system of equations by graphing. Then classify the system consistent or nonconsistnt, and the equations dependent or independent. 3x - 9y = 54 2x - 6y = -2 Will aomeon      Log On


   

Question 143883: Solve the system of equations by graphing. Then classify the system consistent or nonconsistnt, and the equations dependent or independent.
3x - 9y = 54
2x - 6y = -2
Will aomeone help me please?? Thank you.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, get your equations into the slope-intercept form: y = mx+b, to facilitate the graphing.
1) 3x-9y+=+54 Subtract 3x from both sides.
-9y+=+-3x%2B54 Now divide both sides by -9.
y+=+%281%2F3%29x-6
2) 2x-6y+=+-2 Subtract 2x from both sides.
-6y+=+-2x-2 Now divide both sides by -6.
y+=+%281%2F3%29x%2B1%2F3
Now graph the two equations.
graph%28400%2C400%2C-5%2C20%2C-7%2C5%2C%281%2F3%29x-6%2C%281%2F3%29x%2B1%2F3%29
As you can see, the lines are parallel, thus they have no point in common. The system has no solution and is therefore an inconsistent system.