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x2-y2=55 and x-y=11, then y=

 May 13, 2017
 #1
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x ^2 - y^2   =  55

 

x  -  y  =  11

 

factor  the first quation

 

(x + y) ( x - y)  = 55      sub the second equation in for the second factor

 

(x + y) (11)  =   55        divide both sides by 11

 

( x + y)   =   5

 

So......

 

x - y  =  11

x + y  =  5            add  these  equations

 

2x  =  16        divide both sides by 2

 

x  = 8

 

And using x + y  =  5   means that  y   =   - 3

 

 

 

cool cool cool

 May 13, 2017
 #2
avatar
-1

x ^2 - y^2   =  55

 

x  -  y  =  11

 

factor  the first quation

 

(x + y) ( x - y)  = 55      sub the second equation in for the second factor

 

(x + y) (11)  =   55        divide both sides by 11

 

( x + y)   =   5

 

So......

 

x - y  =  11

x + y  =  5            add  these  equations

 

2x  =  16        divide both sides by 2

 

x  = 8

 

And using x + y  =  5   means that  y   =   - 3

 

 

 

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 May 13, 2017

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