SOLUTION: Solve the following system. 3x - 6y = 9 x -2y = 3 Is this going to turn into a fraction? If so, how do I do it? Not sure. Thank you for your helpin getting me going in the r

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the following system. 3x - 6y = 9 x -2y = 3 Is this going to turn into a fraction? If so, how do I do it? Not sure. Thank you for your helpin getting me going in the r      Log On


   

Question 104530: Solve the following system.
3x - 6y = 9
x -2y = 3
Is this going to turn into a fraction? If so, how do I do it? Not sure. Thank you for your helpin getting me going in the right direction..
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I don't think you can predict whether it'll turn into a fraction until you're working through it. Let's start.
1.3x+-+6y+=+9
2.x+-2y+=+3
The easiest way to solve is to use equation 2 and solve for x. Then substitute your value for x into equation 1.
2. x-2y=3
x-2y%2B2y=3%2B2y Additive inverse of 2y.
x=3%2B2y
Now use your result from equation 2 and plug it into the value for x in equation 1.
1. 3x-6y=9
3%283%2B2y%29-6y=9 Substitute.
9+%2B+6y+-+6y+=+9
9=9
Huh? What happened?
The problem you've run into is the equations are dependent, which means they are the same equation in disguise.
You don't have enough information to solve the equations.
In fact, if you multiply the second equation by 3, you get the first equation.
3%28x-2y%29=3%2A3
3x-6y=9
The equations are dependent, there is no solution.