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What is the x-coordinate of the solution of the system y = 1/3x + 8 and 2x - y = 2?

 Apr 4, 2018
 #1
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 y = 1/3x + 8 and 2x - y = 2

Rearrange the second as    y = 2x  - 2

 

Set these y's equal and we have that

 

(1/3)x  +  8  = 2x - 2         add 2  to both sides, subtract  (1/3)x from both sides

 

10 =  2x  - (1/3) x

 

10 = 6/3 x  - 1/3 x

 

10 =  5/3 x      multiply both sides by  (3/5)

 

10 (3/5)  = x   =  30 / 5    = 6

 

 

cool cool cool

 Apr 4, 2018

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