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))
+23252 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
thanks!
