SOLUTION: Solve the system by graphing. x - y = -3 x - y = 4 Thank you.

Algebra ->  Coordinate-system -> SOLUTION: Solve the system by graphing. x - y = -3 x - y = 4 Thank you.      Log On


   

Question 117775: Solve the system by graphing.
x - y = -3
x - y = 4
Thank you.
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-y=-3

1x-y=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-y=-3 Start with the given equation



-y=-3-x Subtract +x from both sides



-y=-x-3 Rearrange the equation



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



y=%28-1%2F-1%29x%2B%28-3%29%2F%28-1%29 Break up the fraction



y=x%2B3 Reduce



Now lets graph y=x%2B3 (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%2B3%29+ Graph of y=x%2B3




So let's solve for y on the second equation


1x-y=4 Start with the given equation



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



-y=-x%2B4 Rearrange the equation



y=%28-x%2B4%29%2F%28-1%29 Divide both sides by -1



y=%28-1%2F-1%29x%2B%284%29%2F%28-1%29 Break up the fraction



y=x-4 Reduce





Now lets add the graph of y=x-4 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%2B3%2Cx-4%29+ Graph of y=x%2B3(red) and y=x-4(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.