Question

Solve the following linear equations.
ᴘʟᴢ ᴀɴsᴡᴇʀ ᴍᴇ ғᴀsᴛ ᴀɴᴅ ᴅᴏɴ'ᴛ sᴇɴᴅ ᴜsᴇʟᴇss ᴀɴsᴡᴇʀ ᴘʟᴢ ɪᴛ's ᴜʀɢᴇɴᴛ​

Answer 1

$\sf \large \underbrace{ \underline{Answer \: and \: Explaination}}$

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

In this question we have to first group the similar terms.

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$\sf \large \implies m - \frac{m - 1}{2}+ \frac{m - 2}{3} = 1$

Now we have to take LCM of denominator in LHS.

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$\large \sf \implies\frac{6m - 3(m - 1) + 2m - 4}{6} = 1$

$\large \sf \implies\frac{6m - 3m - 3 + 2m - 4}{6} = 1$

$\large \sf\implies \frac{5m - 7}{6} = 1$

Now cross multiply

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$\large \sf \implies{5m - 7}{} = 1 \times 6$

$\large \sf \implies{5m }{} = 6 + 7$

$\large \sf \implies{5m }{} = 13$

$\large \sf \implies{m }{} = \frac{ 13}{5}$

$\sf Hence \: value \: of \: M \: is \: \frac{13}{5}.$