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8x+y=-16 -3x+y=-5. Solve using the substitution method.

 Mar 20, 2016
 #1
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8x + y = -16

-3x + y = -5

 

Note that, if we add 3x to both sides of the second equation, we have  y = 3x - 5

 

And substituting this for y in the first equation give us:

 

8x + 3x - 5  = -16   simplify

 

11x - 5  = -16        add 5 to both sides

 

11x  = -11            divide both sides by 11

 

x = -1

 

And using  y  = 3x - 5

 

y = 3(-1) - 5   =  -3 - 5   =  - 8

 

So   (x, y)   = (-1, -8)

 

 

cool cool cool

 Mar 20, 2016

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