SOLUTION: Solve the system of equations by graphing, and then find the solution. x-y=-4 x+y=-2

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Question 982877: Solve the system of equations by graphing, and then find the solution.
x-y=-4
x+y=-2
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:


1x-y=-4

1x%2By=-2





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-y=-4 Start with the given equation



-y=-4-x Subtract +x from both sides



-y=-x-4 Rearrange the equation



y=%28-x-4%29%2F%28-1%29 Divide both sides by -1



y=%28-1%2F-1%29x%2B%28-4%29%2F%28-1%29 Break up the fraction



y=x%2B4 Reduce



Now lets graph y=x%2B4 (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%2B4%29+ Graph of y=x%2B4




So let's solve for y on the second equation


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



1y=-2-x Subtract +x from both sides



1y=-x-2 Rearrange the equation



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



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



y=-x-2 Reduce





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


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


From the graph, we can see that the two lines intersect at the point (-3,1) (note: you might have to adjust the window to see the intersection)