SOLUTION: Graph the systen of equations -3x + 3y = -6 -x + y = 3

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Question 1007647: Graph the systen of equations
-3x + 3y = -6
-x + y = 3
Answer by MathLover1(20849) 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:


-3x%2B3y=-6

-x%2By=3





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


-3x%2B3y=-6 Start with the given equation



3y=-6%2B3x Add 3+x to both sides



3y=%2B3x-6 Rearrange the equation



y=%28%2B3x-6%29%2F%283%29 Divide both sides by 3



y=%28%2B3%2F3%29x%2B%28-6%29%2F%283%29 Break up the fraction



y=x-2 Reduce



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




So let's solve for y on the second equation


-x%2By=3 Start with the given equation



1y=3%2Bx Add +x to both sides



1y=%2Bx%2B3 Rearrange the equation



y=%28%2Bx%2B3%29%2F%281%29 Divide both sides by 1



y=%28%2B1%2F1%29x%2B%283%29%2F%281%29 Break up the fraction



y=x%2B3 Reduce





Now lets add the graph of y=x%2B3 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x-2%2Cx%2B3%29+ Graph of y=x-2(red) and y=x%2B3(green)


From the graph, we can see that the two lines are parallel and will never intersect. So there are no solutions and the system is inconsistent.