SOLUTION: Please help me solve this equation. solve the linear system. 5x+5y=-1 y=-x

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Question 473188: Please help me solve this equation.
solve the linear system.
5x+5y=-1
y=-x
Found 2 solutions by MathLover1, ewatrrr:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

5x%2B5y=-1
y=-x......write this one in standard form

5x%2B5y=-1
x%2By=0

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



Start with the given system of equations:


5x%2B5y=-1

1x%2By=0





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


5x%2B5y=-1 Start with the given equation



5y=-1-5x Subtract 5+x from both sides



5y=-5x-1 Rearrange the equation



y=%28-5x-1%29%2F%285%29 Divide both sides by 5



y=%28-5%2F5%29x%2B%28-1%29%2F%285%29 Break up the fraction



y=-x-1%2F5 Reduce



Now lets graph y=-x-1%2F5 (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-1%2F5%29+ Graph of y=-x-1%2F5




So let's solve for y on the second equation


1x%2By=0 Start with the given equation



1y=0-x Subtract +x from both sides



1y=-x%2B0 Rearrange the equation



y=%28-x%2B0%29%2F%281%29 Divide both sides by 1



y=%28-1%2F1%29x%2B%280%29%2F%281%29 Break up the fraction



y=-x%2B0 Reduce





Now lets add the graph of y=-x%2B0 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-x-1%2F5%2C-x%2B0%29+ Graph of y=-x-1%2F5(red) and y=-x%2B0(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.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

finding the solution for the following linear system.

5x+5y=-1  Green

y=-x      Blue



5x + 5(-x) = -1

        0 ≠ -1  There is NO solution for this system of equations