SOLUTION: Solve this system of linear equations by graphing. 2x - y = 4 2x - y = 6

Algebra ->  Algebra  -> Graphs -> SOLUTION: Solve this system of linear equations by graphing. 2x - y = 4 2x - y = 6       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 109669: Solve this system of linear equations by graphing.
2x - y = 4
2x - y = 6

Found 2 solutions by stanbon, checkley71:
Answer by stanbon(57387) About Me  (Show Source):
You can put this solution on YOUR website!
2x - y = 4
2x - y = 6
---------------
Rearrange:
y = 2x-4
y = 2x-6
-------------
Graph:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x-4%2C2x-6%29%7C
----------
The lines are parallel; there is no solution for the system of equations.
=================
Cheers,
Stan H.

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2X-Y=4 -Y=-2X+4 Y=2X-4 (RED LINE)
2X-Y=6 -Y=-2X+6 Y=2X-6 (GREEN LINE)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+2x+-4%2C+y+=+2x+-6%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 2x -4 and y = 2x -6).
these 2 lines are paralllel thus there is no unique solution to these 2 equations.