SOLUTION: Do the following equations intersect and if so what is the point of intersection(In fraction form): c Thanks!

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Question 530875: Do the following equations intersect and if so what is the point of intersection(In fraction form):
c
Thanks!
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
+graph%28500%2C500%2C-10%2C30%2C-10%2C50%2C4%2F3%2Ax%2B16%2F3%2C3%2F2%2Ax%2B1%29+
.
To find the intersection, begin by getting both equations into standard form.
.
y=4/3x+16/3
-4/3x +y = 16/3
multiply by 3
-4x + 3y = 16
.
y=3/2x+1
-3/2x + y = 1
multiply by 2
-3x + 2y = 2
.
Now we have a system of equations
.
-4x + 3y = 16
-3x + 2y = 2
.
Multiply the first equation by 3 and the second by 4, then subtract.
.
-12x + 9y = 48
-12x + 8y = 8
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y = 40
.
substitute to find 'x'
.
-4x + 120 = 16
-4x = -104
x = 26
.
The point of intersection is (26,40).