SOLUTION: Solve the following system by graphing. x + y - 6 = 0 x - y = 0

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Question 1011351: Solve the following system by graphing.
x + y - 6 = 0
x - y = 0
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

x+%2B+y+-+6+=+0
x+-+y+=+0
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x+%2B+y+=+6
x+-+y+=+0
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Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:


1x%2By=6

1x-y=0





In order to graph these equations, we need to solve for y for each equation.




So let's solve for y on the first equation


1x%2By=6 Start with the given equation



1y=6-x Subtract +x from both sides



1y=-x%2B6 Rearrange the equation



y=%28-x%2B6%29%2F%281%29 Divide both sides by 1



y=%28-1%2F1%29x%2B%286%29%2F%281%29 Break up the fraction



y=-x%2B6 Reduce



Now lets graph y=-x%2B6 (note: if you need help with graphing, check out this solver)



+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2B6%29+ Graph of y=-x%2B6




So let's solve for y on the second equation


1x-y=0 Start with the given equation



-y=0-x Subtract +x from both sides



-y=-x%2B0 Rearrange the equation



y=%28-x%2B0%29%2F%28-1%29 Divide both sides by -1



y=%28-1%2F-1%29x%2B%280%29%2F%28-1%29 Break up the fraction



y=x%2B0 Reduce





Now lets add the graph of y=x%2B0 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2B6%2Cx%2B0%29+ Graph of y=-x%2B6(red) and y=x%2B0(green)


From the graph, we can see that the two lines intersect at the point (3,3) (note: you might have to adjust the window to see the intersection)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following system by graphing.
x + y - 6 = 0
x - y = 0
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y = -x + 6
y = x
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C-x%2B6%2Cx%29
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Ans:: (3,3)
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Cheers,
Stan H.
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