SOLUTION: Solve by graphing 3x+y=2 and y=2x-2 and estimate the point of intersection. I am homeschooled & my parents & I have been trying to figure this one out. We have been able to fin

Algebra ->  Graphs -> SOLUTION: Solve by graphing 3x+y=2 and y=2x-2 and estimate the point of intersection. I am homeschooled & my parents & I have been trying to figure this one out. We have been able to fin      Log On


   

Question 635773: Solve by graphing 3x+y=2 and y=2x-2 and estimate the point of intersection.
I am homeschooled & my parents & I have been trying to figure this one out. We have been able to find the graph line for 3x+ y=2 but not the 2nd. The teacher's guide give us the final graph with coordinates of (4/5, -2/5). Thank you,
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Note: easiest points to find is when x = 0  or y = 0

 3x+ y = 2,  2 Pts(x,y) on this line (0,2) and (2/3, 0) Green Line

 y = 2x-2,   2 Pts(x,y) on this line (0,-2) and (1, 0)  Blue Line

Plot respective points and connect with their respective line

Tough to determine on graph:  

substituting  y  =( 2x-2) also works:  

3x + 2x-2 = 2, 

5x = 4, 

x = 4/5   and  y = 8/5 - 10/5 = -2/5