SOLUTION: solve each system grahpically. x+y=5 x-y=1

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Question 145710: solve each system grahpically.
x+y=5
x-y=1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system of equations:

x%2By=5
x-y=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

x%2By=5 Start with the given equation


y=5-x Subtract +x from both sides


y=-x%2B5 Rearrange the equation



Now lets graph y=-x%2B5 (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%2B5%29+ Graph of y=-x%2B5



So let's solve for y on the second equation

x-y=1 Start with the given equation


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


-y=-x%2B1 Rearrange the equation


y=x-1 Divide both sides by -1




Now lets add the graph of y=x-1 to our first plot to get:

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2B5%2Cx-1%29+ Graph of y=-x%2B5(red) and y=x-1(green)

From the graph, we can see that the two lines intersect at the point (3,2)