SOLUTION: How many solutions does the following system of equations have? Justify your answer. -2x + 4y = 1 3x - 6y = 9 Its been a few years since I've had to do this. Can you expl

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: How many solutions does the following system of equations have? Justify your answer. -2x + 4y = 1 3x - 6y = 9 Its been a few years since I've had to do this. Can you expl      Log On


   



Question 984423: How many solutions does the following system of equations have? Justify your answer.
-2x + 4y = 1
3x - 6y = 9
Its been a few years since I've had to do this. Can you explain the process for me please?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Put both equations into slope intercept form, which is to say solve them for y in terms of everything else, thus:



When you simplify and reduce the fractional coefficients on x, you will notice that they are identical. Then since the y-intercepts are different, you have zero solutions. Graphically, they are two separate parallel lines.

John

My calculator said it, I believe it, that settles it