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find where 2(x+3)-y=7 and 7x-3(y-1)=9 intersect on a graph. check your answer

 Dec 11, 2015
 #1
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2(x+3)-y=7  →   2x + 6 - y   = 7   →  y  = 2x - 1      (1)

 

 

7x-3(y-1)=9  →  7x - 3y + 3  =  9  →  7x - 3y  = 6    (2)

 

Substituting (1)  into (2), we have

 

7x - 3[2x - 1]  = 6       simplify

 

7x - 6x +  3  = 6

 

x + 3  = 6      subtract 3 from both sides

 

x = 3            and     y = 2x -1   =   2(3) - 1   =  5

 

So   (x,y)  = (3, 5)

 

Here's a graph of the intersection of (1)  and (2)........https://www.desmos.com/calculator/mcvtrkwpyj

 

 

cool cool cool

 Dec 11, 2015

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