Question 768212: Graph each system. Tell whether each system has no solution, or infinitely many solutions.
x+2y=10
2x+4y=10
HELP!!! Found 2 solutions by tommyt3rd, josmiceli:Answer by tommyt3rd(5050) (Show Source):
You can put this solution on YOUR website!
x+2y=10
2x+4y=10
or
x+2y=10
x+2y=5
these line have the same slope but different intercepts so they are parallel (no solution)
You can put this solution on YOUR website! These are 2 different equations, because
if you double the 1st one, you get , which is not the 2nd one
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Now determine if they have the same slope,
which will mean that they don't intersect, and
there will be no solution
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(1)
(1)
(1)
and
(2)
(2)
(2)
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Both equations have a slope = ,
so they do not intersect, and there is no solution
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Here's a plot:
