Question

verify -12/5+2/7=2/7+-12/5​

Answer 1

$from \: l.h.s. \\ \\ = - \frac{12}{5} + \frac{2}{7} \\ \\ = \frac{ - 84 + 10}{35} \\ \\ = \frac{ - 74}{35} \\ \\ now \: from \: r.h.s. \\ \\ = \frac{2}{7} + ( \frac{ - 12}{5} ) \\ \\ \frac{2}{7} - \frac{12}{5} \\ \\ = \frac{10 - 84}{35} \\ \\ = \frac{ - 74}{35} = l.h.s. \\ \\ proved$

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Answer 2

$\huge\mathfrak{Answer~:}$

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$\mathrm{here \: \: given}\\ \\ \frac{ - 12}{5} + \frac{2}{7} = \frac{2}{7} +( \frac{- 12}{5} ) \\ \\ \mathrm{( - ) \: will \: be \: canceled \: from \: two \: side} \\ \\ \frac{12}{5} + \frac{2}{7} = \frac{2}{7} + \frac{12}{5} \\ \\ \frac{12 \times 7 + 7 \times 5}{35} = \frac{7 \times 5 + 12 \times 7}{35} \\ \\ \frac{119}{35} = \frac{119}{35} \\ \\ \\\mathtt{LHS = RHS}$

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