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Find the ordered pair (m,n) where m,n are positive integers satisfying the following equation:

 

14mn = 55 - 7m - 2n

 

Please put the answer and explain why.

(I don't really get how to facor 55-2n into the form of x(2n + 1))

 May 13, 2018
 #1
avatar+17774 
+1

14mn  =  55 - 7m - 2n

Add 2n to both sides:

14mn + 2n  =  55 - 7m

Factor:

n(14m + 2)  =  55 - 7m

Divide both sides by 14m + 2:

n  =  (55 - 7m) / (14m + 2)

If you replace m with 1:                                 (a guess; if it doesn't work, try 2 ... )

n  =  (55 - 7·1) / (14·1 + 2)  =  (55 - 7) / (14 + 2)  =  48 / 16  =  3

 

If m = 1, then n = 3

 May 13, 2018
 #2
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+1

laughthanks!

Guest May 13, 2018
 #3
avatar+985 
+2

Good to see you back Geno!

GYanggg  May 14, 2018

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