SOLUTION: solve by graphing 3x+y=5,-2x+3y=4 How would you graph this???? I really need help! THANKYOU!!

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Question 300413: solve by graphing 3x+y=5,-2x+3y=4 How would you graph this???? I really need help! THANKYOU!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The quickest way to graph a line is to find the intercepts.
To find the x-intercept, set y=0 and solve for x.
3x%2By=5
3x%2B0=5
3x=5
x=5%2F3
(5/3,0)
To find the y-intercept, set x=0 and solve for y.
3x%2By=5
0%2By=5
y=5
(0,5)
Plot those points and graph the first line.

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Do the same for the next line.
To find the x-intercept, set y=0 and solve for x.
-2x%2B3y=4
-2x%2B0=4
x=-2
(-2,0)
To find the y-intercept, set x=0 and solve for y.
-2x%2B3y=4
0%2B3y=4
y=4%2F3
(0,4/3)

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From looking at the graph, it's apparent that the intersection point is (1,2).
Verify by plugging into the original equations.
3x%2By=5
3%281%29%2B2=5
3%2B2=5
5=5
True
-2x%2B3y=4
-2%281%29%2B3%282%29=4
-2%2B6=4
4=4
True
Solves both equations, its a good solution.
(1,2)