SOLUTION: I don't understand how to solve the systems of equations by

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Question 901195: I don't understand how to solve the systems of equations by
Found 2 solutions by richwmiller, MathLover1:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
You have submitted these problems too many times today!

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
y=3x-3
+y=x%2B1
__________________Enter the two equations in standard form ax%2Bby=c.
-3x%2By=-3
-x%2B+y=1
________________


Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:


-3x%2By=-3

-x%2By=1





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%2By=-3 Start with the given equation



1y=-3%2B3x Add 3+x to both sides



1y=%2B3x-3 Rearrange the equation



y=%28%2B3x-3%29%2F%281%29 Divide both sides by 1



y=%28%2B3%2F1%29x%2B%28-3%29%2F%281%29 Break up the fraction



y=3x-3 Reduce



Now lets graph y=3x-3 (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+3x-3%29+ Graph of y=3x-3




So let's solve for y on the second equation


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



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



1y=%2Bx%2B1 Rearrange the equation



y=%28%2Bx%2B1%29%2F%281%29 Divide both sides by 1



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



y=x%2B1 Reduce





Now lets add the graph of y=x%2B1 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3x-3%2Cx%2B1%29+ Graph of y=3x-3(red) and y=x%2B1(green)


From the graph, we can see that the two lines intersect at the point (2,3) (note: you might have to adjust the window to see the intersection)