SOLUTION: Please help. Solve the following by graphing. x-6y=6 -x+y=4 Thanks JMs

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Question 114447: Please help.
Solve the following by graphing.
x-6y=6
-x+y=4
Thanks
JMs

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:


1x-6y=6

-x%2By=4





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-6y=6 Start with the given equation



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



-6y=-x%2B6 Rearrange the equation



y=%28-x%2B6%29%2F%28-6%29 Divide both sides by -6



y=%28-1%2F-6%29x%2B%286%29%2F%28-6%29 Break up the fraction



y=%281%2F6%29x-1 Reduce



Now lets graph y=%281%2F6%29x-1 (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+%281%2F6%29x-1%29+ Graph of y=%281%2F6%29x-1




So let's solve for y on the second equation


-x%2By=4 Start with the given equation



1y=4%2Bx Add +x to both sides



1y=%2Bx%2B4 Rearrange the equation



y=%28%2Bx%2B4%29%2F%281%29 Divide both sides by 1



y=%28%2B1%2F1%29x%2B%284%29%2F%281%29 Break up the fraction



y=x%2B4 Reduce





Now lets add the graph of y=x%2B4 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F6%29x-1%2Cx%2B4%29+ Graph of y=%281%2F6%29x-1(red) and y=x%2B4(green)


From the graph, we can see that the two lines intersect at the point (-6,-2) (note: you might have to adjust the window to see the intersection)