SOLUTION: Directions: On a coordinate system on a graph, graph each system of equations on the same set of axes. name the point of intersection. My two equations are -x=-3y-6 and -4=2y-8x. H

Algebra ->  Coordinate-system -> SOLUTION: Directions: On a coordinate system on a graph, graph each system of equations on the same set of axes. name the point of intersection. My two equations are -x=-3y-6 and -4=2y-8x. H      Log On


   

Question 122989: Directions: On a coordinate system on a graph, graph each system of equations on the same set of axes. name the point of intersection. My two equations are -x=-3y-6 and -4=2y-8x. How do i graph it and where do i name the point of intersection?
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:


-x%2B3y=-6

-8x%2B2y=-4





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


-x%2B3y=-6 Start with the given equation



3y=-6%2Bx Add +x to both sides



3y=%2Bx-6 Rearrange the equation



y=%28%2Bx-6%29%2F%283%29 Divide both sides by 3



y=%28%2B1%2F3%29x%2B%28-6%29%2F%283%29 Break up the fraction



y=%281%2F3%29x-2 Reduce



Now lets graph y=%281%2F3%29x-2 (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+%281%2F3%29x-2%29+ Graph of y=%281%2F3%29x-2




So let's solve for y on the second equation


-8x%2B2y=-4 Start with the given equation



2y=-4%2B8x Add 8+x to both sides



2y=%2B8x-4 Rearrange the equation



y=%28%2B8x-4%29%2F%282%29 Divide both sides by 2



y=%28%2B8%2F2%29x%2B%28-4%29%2F%282%29 Break up the fraction



y=4x-2 Reduce





Now lets add the graph of y=4x-2 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F3%29x-2%2C4x-2%29+ Graph of y=%281%2F3%29x-2(red) and y=4x-2(green)


From the graph, we can see that the two lines intersect at the point (0,-2) (note: you might have to adjust the window to see the intersection)