Question 250424
{{{y = (2/3)x}}}
{{{ 2x + 3y = 5}}}
{{{3y=-2x+5}}}
{{{y=-(2/3)x+(5/3)}}}
Since they have the same slopes but different y-intercepts, they are parallel lines and don't intersect. 
 
{{{ graph( 300, 300, -2, 2, -2, 2, (2/3)x, -(2/3)x+(5/3)) }}} 
It's hard to tell graphically.
Since both equations equal y, set them equal to each other and solve for x.
{{{(2/3)x=-(2/3)x+(5/3)}}} 
{{{2x=-2x+5}}}
{{{4x=5}}}
{{{x=5/4}}}
Then from either equation solve for y.
{{{y=(2/3)x=(2/3)(5/4)=5/6}}}
The intersection point is 
({{{5/4}}},{{{5/6}}})