Question

5m-n=3m+4n then find the values of 3m+4n/3m-4n

Answer 1

See the attachment for detail solution
Hope it will help you

Answer 2

$\dfrac{3m + 4n}{3m - 4n} = \dfrac{23}{7}$

Step-by-step explanation:

We are given that 5m - n = 3m + 4n and we have to find the value of $\dfrac{3m + 4n}{3m - 4n}$.

Now, we have, 5m - n = 3m + 4n

⇒ 2m = 5n

⇒ $\dfrac{m}{5} = \dfrac{n}{2} = k$ (Say.)

So, m = 5k and n = 2k {Expressing the value of m and n in terms of k}

Hence, $\dfrac{3m + 4n}{3m - 4n} = \dfrac{3(5k) + 4(2k)}{3(5k) - 4(2k))} = \dfrac{23k}{7k} = \dfrac{23}{7}$ (Answer)