2m+3n=16; 3m+2n=9 find m+n.
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Tip: Do not go for lengthy substitution, elimination or cross multiplication method to find the value of x (here, m) and y (here, n) unless mentioned. Just add both equations.
Answer: m + n = 5.
Explanation:
2m + 3n = 16 __(1)
3m + 2n = 9 __(2)
Adding both the equations, we get:
(2m + 3n) + (3m + 2n) = 16 + 9
=> 5m + 5n = 25
=> 5(m + n) = 25
=> m + n = 5.
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