Question

Solve the following equations and check your results.

$3m = 5m - \frac{8}{5}$
​

Answer 1

• Ur Answer mate :-

Question :-

$\sf{3m = 5m - \dfrac{8}{5}}$

Answer :-

$\sf{m = \dfrac{4}{5}}$

Solution :-

$\sf{3m = 5m - \dfrac{8}{5}}$

$\sf\implies{3m \: - \: 5m = \: \dfrac{-8}{5}}$

$\sf\implies{-2m \: = \: \dfrac{-8}{5}}$

$\sf\implies{m \: = \: \cancel\dfrac{-8 \times 1}{5 \times -2}}$

$\sf\implies\pink{m \: = \: \dfrac{4}{5}}$

Verification :-

• Putting the 4/5 in place of m

$\sf\implies{3 \times \dfrac{4}{5} = \: 5 \times \dfrac{-8}{5}}$

$\sf\implies{\dfrac{12}{5} = \: 4 \: - \: \dfrac{8}{5}}$

• The L.C.M will be 5

$\sf\implies{\dfrac{12}{5} = \: \dfrac{4 \times 5 \: - \: 1 \times 8}{5}}$

$\sf\implies{\dfrac{12}{5} \: = \: \dfrac{20 \: - \: 8}{5}}$

$\sf\implies{\dfrac{12}{5} \: = \: \dfrac{12}{5}}$

Hence, Verified ✅

Answer 2

Given :

• 3m = 5m - 8/5

To find :

• the value of m and to check our results.

Solution :

⇒ Let's find the value of m.

$\longrightarrow \sf 3m = 5m -\dfrac{8}{5}$

$\longrightarrow \sf 3m - 5m = \dfrac{8}{5}$

$\longrightarrow \sf - 2m = \dfrac{8}{5}$

$\longrightarrow \sf \dfrac{- 2m}{-2} = \dfrac{\frac{8}{5}}{-2}$

$\longrightarrow \sf m = \dfrac{\frac{8}{5}}{-2}$

$\longrightarrow \sf m = \dfrac{4}{5}$

$\therefore \sf m = \dfrac{4}{5}$

Let's verify!!

$\sf \rightarrow LHS = 3m$

$\sf \rightarrow RHS = 5m - \dfrac{8}{5}$

--------------

$\longmapsto \sf 3m = 3 \times \dfrac{4}{5}$

$\sf = \dfrac{3}{1} \times \dfrac{4}{5}$

$\sf = \dfrac{3 \times 4}{1 \times 5}$

$\sf = \dfrac{12}{5}$

$\sf \longmapsto 5m - \dfrac{8}{5} = 5 \times \dfrac{4}{5} - \dfrac{8}{5}$

$\sf = \dfrac{5}{1} \times \dfrac{4}{5} - \dfrac{8}{5}$

$\sf = \dfrac{5 \times 4 }{1 \times 5 } - \dfrac{8}{5}$

$\sf = \dfrac{20}{5} - \dfrac{8}{5}$

$\sf = \dfrac{20- 8}{5}$

$\sf = \dfrac{12}{5}$

∴ L.H.S = R.H.S