Question 177761: Linear System
Explain why the following linear system has no solution.
y-2x=1
y=2x+3 Found 2 solutions by solver91311, stanbon:Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website! Because when you put the first equation in to slope-intercept form you will see that the two lines have the same slope but different y-intercepts, therefore they are two distinct parallel lines. Parallel lines never intersect, so there cannot be a common solution to both equations, meaning the solution set of the system is the empty set.
You can put this solution on YOUR website! Explain why the following linear system has no solution.
y-2x=1
y=2x+3
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Writing both in slope-intercept form you get:
y = 2x+1
y = 2x + 3
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The slopes are the same and the intercepts are different,
so thelines are parallel; they have no common point.
Cheers,
Stan H.
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