SOLUTION: Solve the system of linear equations by graphing 2x-y=0 4x-y=6

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Question 684937: Solve the system of linear equations by graphing
2x-y=0
4x-y=6
Answer by MathLover1(20849) 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-y=0

4x-y=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-y=0 Start with the given equation



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



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



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



y=%28-2%2F-1%29x%2B%280%29%2F%28-1%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


4x-y=6 Start with the given equation



-y=6-4x Subtract 4+x from both sides



-y=-4x%2B6 Rearrange the equation



y=%28-4x%2B6%29%2F%28-1%29 Divide both sides by -1



y=%28-4%2F-1%29x%2B%286%29%2F%28-1%29 Break up the fraction



y=4x-6 Reduce





Now lets add the graph of y=4x-6 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2B0%2C4x-6%29+ Graph of y=2x%2B0(red) and y=4x-6(green)


From the graph, we can see that the two lines intersect at the point (3,6) (note: you might have to adjust the window to see the intersection)