SOLUTION: Solve each system by graphing y = 2/3x 2 x + 3 y = 5 Second question Graph each pair of equations on a graphing calculator using a window that shows the point of inte

Algebra ->  Graphs -> SOLUTION: Solve each system by graphing y = 2/3x 2 x + 3 y = 5 Second question Graph each pair of equations on a graphing calculator using a window that shows the point of inte      Log On


   

Question 250424: Solve each system by graphing
y = 2/3x
2 x + 3 y = 5

Second question
Graph each pair of equations on a graphing calculator using
a window that shows the point of intersection. Use the
intersect feature to find the solution
y = 5x + 98
y =7x + 70
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+%282%2F3%29x
+2x+%2B+3y+=+5
3y=-2x%2B5
y=-%282%2F3%29x%2B%285%2F3%29
Since they have the same slopes but different y-intercepts, they are parallel lines and don't intersect.


It's hard to tell graphically.
Since both equations equal y, set them equal to each other and solve for x.
%282%2F3%29x=-%282%2F3%29x%2B%285%2F3%29
2x=-2x%2B5
4x=5
x=5%2F4
Then from either equation solve for y.
y=%282%2F3%29x=%282%2F3%29%285%2F4%29=5%2F6
The intersection point is
(5%2F4,5%2F6)