SOLUTION: What is the solution to the system of equation? y=3x+7 y=3x+1

Algebra ->  Linear-equations -> SOLUTION: What is the solution to the system of equation? y=3x+7 y=3x+1       Log On


   

Question 719294: What is the solution to the system of equation?
y=3x+7
y=3x+1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y=3x%2B7+
y=3x%2B1
in general form
-3x%2By=7+
-3x%2By=1

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



Start with the given system of equations:


-3x%2By=7

-3x%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=7 Start with the given equation



1y=7%2B3x Add 3+x to both sides



1y=%2B3x%2B7 Rearrange the equation



y=%28%2B3x%2B7%29%2F%281%29 Divide both sides by 1



y=%28%2B3%2F1%29x%2B%287%29%2F%281%29 Break up the fraction



y=3x%2B7 Reduce



Now lets graph y=3x%2B7 (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%2B7%29+ Graph of y=3x%2B7




So let's solve for y on the second equation


-3x%2By=1 Start with the given equation



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



1y=%2B3x%2B1 Rearrange the equation



y=%28%2B3x%2B1%29%2F%281%29 Divide both sides by 1



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



y=3x%2B1 Reduce





Now lets add the graph of y=3x%2B1 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3x%2B7%2C3x%2B1%29+ Graph of y=3x%2B7(red) and y=3x%2B1(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.