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What is the intersection of the lines given by 2y=-x+8 and -y=-5x+1? Enter the answer as an ordered pair.

 Jun 25, 2021
 #1
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2y  = -x +  8               (1)

-y  = -5x +  1   ⇒    y =  5x  -  1    (2)

 

Sub (2) into (1)  for  y

 

2 ( 5x - 1)   =  -x +  8

 

10x  -  2  = - x +  8

 

10x + x =    2 +  8

 

11x   = 10

 

x  = 10/11

 

y = 5 ( 10/11)  -  1   =   50/11  -- 11/11  =   39/11

 

Ordered pair =    ( 10/11 ,  39/11)

 

 

 

 

cool cool cool

 Jun 25, 2021
edited by CPhill  Jun 25, 2021

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