SOLUTION: Please help me I am really bad with the whole graphing thing. The problem goes like this: Graph 2x-y= 6 and x+3y= 3 on the same coordinate plane. what is the point of intersec

Algebra ->  Coordinate-system -> SOLUTION: Please help me I am really bad with the whole graphing thing. The problem goes like this: Graph 2x-y= 6 and x+3y= 3 on the same coordinate plane. what is the point of intersec      Log On


   

Question 87671: Please help me I am really bad with the whole graphing thing.
The problem goes like this:
Graph 2x-y= 6 and x+3y= 3 on the same coordinate plane. what is the point of intersection?
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:


2x-y=6

1x%2B3y=3





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=6 Start with the given equation



-y=6-2x Subtract 2+x from both sides



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



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



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



y=2x-6 Reduce



Now lets graph y=2x-6 (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-6%29+ Graph of y=2x-6




So let's solve for y on the second equation


1x%2B3y=3 Start with the given equation



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



3y=-x%2B3 Rearrange the equation



y=%28-x%2B3%29%2F%283%29 Divide both sides by 3



y=%28-1%2F3%29x%2B%283%29%2F%283%29 Break up the fraction



y=%28-1%2F3%29x%2B1 Reduce





Now lets add the graph of y=%28-1%2F3%29x%2B1 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x-6%2C%28-1%2F3%29x%2B1%29+ Graph of y=2x-6(red) and y=%28-1%2F3%29x%2B1(green)


From the graph, we can see that the two lines intersect at the point (3,0) (note: you might have to adjust the window to see the intersection)