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How do I find the point of intersection for the pair of Iines? 

A) y=2x+3

     y=4x-1

B) y=2/3x+5

C) x+2y=4

     3x-2y=4

 Feb 6, 2018
 #1
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A). First replace y in the first equation by the right hand side of the second equation:

 

4x - 1 = 2x + 3

subtract 2x from both sides: 2x - 1 = 3

add 1 to both sides: 2x = 4

divide both sides by 2:  x = 2

put this into the first equation: y = 2*2 + 3 or y = 7

hence the point of intersection is (2, 7)

 

B) You have only supplied one equation

 

C) Try using the same approach I used in A) above.

 Feb 6, 2018

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