Question 143605
y=x+2
y=3x+5
Means x+2=3x+5
which gives  0=2x+3
which implies x=-3/2
This is the intersection point of the two graphs and the solution. Find y, however. y=-3/2+2=1/2. 

Now plot both lines and you will see that this is, indeed, the intersection point.
(-3/2,1/2).

{{{graph( 300, 200, -5, 5, -5, 5, x+2, 3x+5 )}}}