Question

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

Answer 1

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

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

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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$⟹40 - 16(3m - 5) = - 10(4m - 8)$

$⟹40 - 48m + 80 = - 40m + 80$

$⟹40 + 80 - 48m = - 40m + 80$

$⟹120 - 48m = - 40m + 80$

$⟹120 - 80 = - 40m + 48m$

$⟹40 = 8m$

$⟹m = \frac{40}{8} = 5$

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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HOPE IT HELPS YOU..

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Thankyou:

Answer 2

$\huge \tt{Solution:-}$

$\tt{40 - 16(3m - 5) = - 10(4m - 8)}$

$\tt{40 - 48m + 80 = - 40m + 80}$

$\tt{40 + 80 - 48m = - 40m + 80}$

$\tt{120 - 48m = - 40m + 80}$

$\tt{120 - 80 = - 40m + 48m}$

$\tt{40 = 8m}$

$\tt{m = \frac{\cancel{40}}{\cancel{8}} }$

$\boxed{\tt{m = 5}}$

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$\huge \tt{Verification:-}$

$\tt{40 - 16(3(5) - 5) = - 10(4(5) - 8)}$

$\tt{40 - 16(15 - 5) = - 10(20 - 8)}$

$\tt{40 - 16(10) = - 10(12)}$

$\tt{40 - 160 = - 120}$

$\tt{ - 120 = - 120}$

$\tt{As, \: L.H.S. = R.H.S.}$

$\tt{Hence, \: verified ✓}$