13m+7n=33;7m+13n=27 find the value of m+n
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Step-by-step explanation:
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Answer:
If 13m + 7n = 33; and, 7m + 13n = 27, then, the value of (m + n) will be 3.
Step-by-step explanation:
Given,
13m + 7n = 33 ...........(eq. 1)
7m + 13n = 27 ...........(eq. 2)
Now,
Adding eq. 1 and eq. 2, we get;
13m + 7n + 7m + 13n = 33 + 27
⇒ (13m + 7m) + (7n + 13n) = 60
⇒ 20m + 20n = 60
⇒ 20(m + n) = 60
⇒ (m + n) = 3
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