SOLUTION: Hello, I have recently started learning about the systems of linear equations. I understand how to solve by graphing, substitution, and elimination but I have a question about a

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Hello, I have recently started learning about the systems of linear equations. I understand how to solve by graphing, substitution, and elimination but I have a question about a      Log On


   

Question 67732: Hello,
I have recently started learning about the systems of linear equations. I understand how to solve by graphing, substitution, and elimination but I have a question about a math problem.
I need to solve this system of linear equations algebraically using elimination:
3x-2y=9
-6x+4y=1
PLEASE HELP ME WITH THIS PROBLEM AS SOON AS POSSIBLE.I always work really hard in school but am confused on how to solve this problem and figure out what special system it is. PLEASE HELP ME!
Confused Algebra 1 student
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by elimination:
1). 3x-2y+=+9 Multiply equation 1) by 2 and add to equation 2).
2). -6x%2B4y+=+1
1a) 6x-4y+=+18
---------------------
0+=+19 This result indicates that there is no solution. The two lines are parallel and there is no intersection, thus no solution. The graph below clearly shows this.
graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C%283%2F2%29x-9%2F2%2C%283%2F2%29x%2B1%2F4%29