Question

solve the equation :​

Answer 1

Answer is m = 1/2

by further simplication ...u will get the answer

Answer 2

Step-by-step explanation:

Question:

$m - \frac{m - 1}{2} = 1 - \frac{m - 2}{3}$

Solution:

m-$\frac{{m}\mathrm{{-}}{1}}{2}$=1-$\frac{{m}\mathrm{{-}}{2}}{3}$

=> $\frac{{2}{m}\mathrm{{-}}{\mathrm{(}}{m}\mathrm{{-}}{1}{\mathrm{)}}}{2}$=1-$\frac{{m}\mathrm{{-}}{2}}{3}$

=> $\frac{{2}{m}\mathrm{{-}}{m}\mathrm{{+}}{1}}{2}$=1-$\frac{{m}\mathrm{{-}}{2}}{3}$

=> $\frac{{m}\mathrm{{+}}{1}}{2}$=1-$\frac{{m}\mathrm{{-}}{2}}{3}$

=> $\frac{{m}\mathrm{{+}}{1}}{2}$=$\frac{{3}\mathrm{{-}}{\mathrm{(}}{m}\mathrm{{-}}{2}{\mathrm{)}}}{3}$

=> $\frac{{m}\mathrm{{+}}{1}}{2}$=$\frac{{3}\mathrm{{-}}{m}\mathrm{{+}}{2}}{3}$

=> $\frac{{m}\mathrm{{+}}{1}}{2}$=$\frac{{5}\mathrm{{-}}{m}}{3}$

=> 3(m+1)=2(5-m)

=> 3m+3=2(5-m)

=> 3m+3=10-2m

=> 3m+2m+3=10

=> 5m+3=10

=> 5m=10-3

=> 5m=7

=> m=$\frac{7}{5}$

$\underline{\underline{{Check}{\mathrm{:}}\mathrm{{-}}}}$

L.H.S

m-$\frac{{m}\mathrm{{-}}{2}}{2}$

= $\frac{7}{5}$-$\frac{\frac{7}{5}\mathrm{{-}}{1}}{2}$

= $\frac{7}{5}$-$\frac{\frac{{7}\mathrm{{-}}{5}}{5}}{2}$

= $\frac{7}{5}$-$\frac{2}{10}$

= $\frac{7}{5}$-$\frac{1}{5}$

= $\fbox{${\frac{6}{5}}$}$

R.H.S

1-$\frac{{m}\mathrm{{-}}{3}}{3}$

= 1-$\frac{\frac{7}{5}\mathrm{{-}}{2}}{3}$

= 1-$\frac{\frac{{7}\mathrm{{-}}{2}{\mathrm{(}}{5}{\mathrm{)}}}{5}}{3}$

= 1-$\frac{\frac{{7}\mathrm{{-}}{\mathrm{10}}}{5}}{3}$

= 1-$\frac{\mathrm{{-}}\frac{3}{5}}{3}$

= 1+$\frac{3}{\mathrm{15}}$

= 1+$\frac{1}{5}$

= $\fbox{${\frac{6}{5}}$}$

.°. LHS=RHS

$\underline{\underline{{Hence}\hspace{0.33em}{Verified}{\mathrm{,}}}}$