Question

Q:-solve and find the value of m and hence verify
$40 - 16(3m - 5) = - 10(4m - 8)$

Answer 1

$\green{\bold{\boxed{\underline{ ✪ UPSC-ASPIRANT✪ }}}}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-solve and find the value of m and hence verify

$40 - 16(3m - 5) = - 10(4m - 8)$

$\huge\tt\underline\blue{Answer }$

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$⟹40 - 16(3m - 5) = - 10(4m - 8)$

$⟹40 - 48m + 80 = - 40m + 80$

$⟹40 + 80 - 48m = - 40m + 80$

$⟹120 - 48m = - 40m + 80$

$⟹120 - 80 = - 40m + 48m$

$⟹40 = 8m$

$⟹m = \frac{40}{8} = 5$

$\mathbb{CHECK:-}$

$⟹40 - 16(3(5) - 5) = - 10(4(5) - 8)$

$⟹40 - 16(15 - 5) = - 10(20 - 8)$

$⟹40 - 16(10) = - 10(12)$

$⟹40 - 160 = - 120$

$⟹ - 120 = - 120$

therefore,L.H.S=R.H.S

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Answer 2

According to the question

$⟹40 - 16(3m - 5) = - 10(4m - 8) \\ \\ </p><p></p><p>⟹40 - 48m + 80 = - 40m + 80 \\ \\ </p><p>⟹40 + 80 - 48m = - 40m + 80 \\ \\ </p><p></p><p>⟹120 - 48m = - 40m + 80 \\ \\ </p><p></p><p>⟹120 - 80 = - 40m + 48m \\ \\ </p><p></p><p>⟹40 = 8m \\ \\ </p><p></p><p>⟹m = \frac{40}{8} = 5 \\ \\ </p><p>\mathbb{CHECK:-} \\ \\ </p><p></p><p>⟹40 - 16(3(5) - 5) = - 10(4(5) - 8) \\ \\ </p><p></p><p>⟹40 - 16(15 - 5) = - 10(20 - 8) \\ \\ </p><p>⟹40 - 16(10) = - 10(12) \\ \\ </p><p></p><p>⟹40 - 160 = - 120 \\ \\ </p><p></p><p>⟹ - 120 = - 120 \\ \\ </p><p></p><p>therefore, \: \: L.H.S \: = \: R.H.S</p><p></p><p>$