Question 200516
You are given the equations for two lines. Usually you are asked to find the point that they have in common. Remember, lines can 1)intersect at one point 2) be parallel and not touch anywhere 3)be coindicdent and have every point in common

Let's solve this one using elimination
{{{2x+3y = 3}}}
{{{3x+3y = 4}}}  Subtract the two (it is easy this time since two of them have the same coefficient for the y term. Other times, you will have to do more math beforehand)
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{{{-x    = -1}}}
{{{x=1}}}
If x = 1, now solve for y
{{{2*(1) + 3y = 3}}}
{{{2 + 3y = 3}}}
{{{3y = 1}}}
{{{y = 1/3}}}
So the point these two lines intersect at is (1, 1/3)
{{{graph(400,400, -2, 2, -2, 2, (-2/3)x+1, -x + 4/3)}}}