Question

m/4=m+1/5
answer please​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\textsf{\large{\underline{Solution}:}}$

Given That:

$\rm \implies \dfrac{m}{4} = m + \dfrac{1}{5}$

$\rm \implies \dfrac{m}{4} - m = \dfrac{1}{5}$

$\rm \implies \dfrac{m - 4m}{4} =\dfrac{1}{5}$

$\rm \implies \dfrac{ - 3m}{4} =\dfrac{1}{5}$

$\rm \implies m =\dfrac{1}{5} \times \dfrac{ - 4}{3}$

$\rm \implies m =\dfrac{ - 4}{15}$

★ So, the value of m is -4/15.

$\textsf{\large{\underline{Verification}:}}$

Put m = -4/15. We get:

$\rm \implies \dfrac{m}{4} = \dfrac{ \dfrac{ - 4}{15} }{4}$

$\rm \implies \dfrac{m}{4} = \dfrac{ - 1}{15}$

Now, taking RHS, we get:

$\rm \implies m + \dfrac{1}{5} = \dfrac{ - 4}{15} + \dfrac{1}{5}$

$\rm \implies m + \dfrac{1}{5} = \dfrac{ - 4 + 3}{15}$

$\rm \implies m + \dfrac{1}{5} = \dfrac{ - 1}{15}$

Hence, LHS = RHS. Our answer is correct (Verified)