Question 120897: Solve each of the following systems by graphing
2x - y = 4
2x - y = 6
What is the solution or where do they Intersect?
Found 2 solutions by checkley71, ilana:
Answer by checkley71(8403)   (Show Source):
You can put this solution on YOUR website! 2X-Y=4 OR -Y=-2X+4 OR Y=2X-4 (RED LINE)
2X-Y=6 OR -Y=-2X+6 OR Y=2X-6 (GREEN LINE)
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 2x -4 and y = 2x -6).
THERE IS NO UNIQUE SOLUTION TO THESE 2 EQUATIONS & THEY DO NOT INTERSECT.
Answer by ilana(307) (Show Source):
You can put this solution on YOUR website! There is no solution, they don't intersect! There are many ways to show this is true. One is you can change them both to the form y=mx+b. Then you will see m=2 for both, so they are parallel lines. Parallel lines never intersect. Another way to show there is no solution is with substitution. The first equation says 2x-y=4. That means whenever you see 2x-y, you can substitute in 4. So, the second equation, 2x-y=6 becomes 4=6. This cannot be true, so there is no solution.
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