SOLUTION: determine graphically the point of intersection between the lines defined by y=-2x+6 and 8=5x-y. i have no idea how to do this so i coudnt show my work. sorry.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: determine graphically the point of intersection between the lines defined by y=-2x+6 and 8=5x-y. i have no idea how to do this so i coudnt show my work. sorry.      Log On


   

Question 77528: determine graphically the point of intersection between the lines defined by y=-2x+6 and 8=5x-y.

i have no idea how to do this so i coudnt show my work. sorry.
Found 2 solutions by Earlsdon, jim_thompson5910:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the point of intersection graphically:
y = -2x+6
8 = 5x-y Rewrite this equation as:
y = 5x-8
Now let's graph the two equations:
graph%28300%2C200%2C-5%2C5%2C-10%2C10%2C-2x%2B6%2C5x-8%29
The red line is y = -2x+6
The green line is 8 = 5x-y
From the graph, the point of intersection seems to be: (2, 2), what do you think?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the second equation for y
8=5x-y
8-5x=-y Subtract 5x from both sides
y=5x-8 Multiply both sides by negative 1
Now graph y=2x%2B6 and y=5x-8 and see where they intersect
+graph%28+300%2C+200%2C+-6%2C+10%2C+-2%2C+20%2C+2x%2B6%2C+5x-8%29+ graph of y=2x%2B6 and y=5x-8

So the intersection appears to be about (4.5,15). Of course this is all an approximation since I'm using the graph.