SOLUTION: Solve the system of linear equations by graphing. 2x+y=0 5x+y=6 Use graphing tool to graph the system. What is the solution of the system of equations? Select the correct

Algebra ->  Graphs -> SOLUTION: Solve the system of linear equations by graphing. 2x+y=0 5x+y=6 Use graphing tool to graph the system. What is the solution of the system of equations? Select the correct      Log On


   

Question 782504: Solve the system of linear equations by graphing.
2x+y=0
5x+y=6
Use graphing tool to graph the system.
What is the solution of the system of equations? Select the correct choice.
A. ___ (type an ordered pair)
B. There are infinitely many solutions.
C. There is no solution.
Answer by MathLover1(20850) 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:


2x%2By=0

5x%2By=6





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


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



1y=0-2x Subtract 2+x from both sides



1y=-2x%2B0 Rearrange the equation



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



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



y=-2x%2B0 Reduce



Now lets graph y=-2x%2B0 (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+-2x%2B0%29+ Graph of y=-2x%2B0




So let's solve for y on the second equation


5x%2By=6 Start with the given equation



1y=6-5x Subtract 5+x from both sides



1y=-5x%2B6 Rearrange the equation



y=%28-5x%2B6%29%2F%281%29 Divide both sides by 1



y=%28-5%2F1%29x%2B%286%29%2F%281%29 Break up the fraction



y=-5x%2B6 Reduce





Now lets add the graph of y=-5x%2B6 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B0%2C-5x%2B6%29+ Graph of y=-2x%2B0(red) and y=-5x%2B6(green)


From the graph, we can see that the two lines intersect at the point (2,-4) (note: you might have to adjust the window to see the intersection)



A.(2,-4)