Question

5m - n = 3m + 4n then find the values of the following expressions: 5m+3n\ 5m-3n​

Answer 1

Step-by-step explanation:

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

3m−4n

3m+4n

= 723

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}

3m−4n 3m+4n

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

⇒ 2m = 5n

⇒ $\dfrac{m}{5} = \dfrac{n}{2} = k$

5m =2n

=k (Say.)

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

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

3m−4n 3m+4n

= 3(5k)−4(2k))3(5k)+4(2k)

= 7kn23k = 723

(Answer)