SOLUTION: Find the equation of the line through the point of intersection of 2x+3y=5 and 3x-y=2,and which is parallel to 4y-x=14

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Question 963098: Find the equation of the line through the point of intersection of 2x+3y=5 and 3x-y=2,and which is parallel to 4y-x=14
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the intersection point.
From the second equation,
y=3x-2
Substitute into the first,
2x%2B3%283x-2%29=5
2x%2B9x-6=5
11x=11
x=1
Then use either equation to find y.
y=3%281%29-2
y=3-2
y=1
(1,1)
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A parallel line would have the same left hand side.
4y-x=D
Use the point to solve for D.
4%281%29-1=D
D=4-1
D=3
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highlight%284y-x=3%29
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