Question

Q:-
$if \: c = \frac{a}{b} - \frac{d - e}{f - d}$
Find the value of f when a=3,b=4,c=-6,d=-5 & e=2​

Answer 1

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Q:-

$if \: c = \frac{a}{b} - \frac{d - e}{f - d}$

Find the value of f when a=3,b=4,c=-6,d=-5 & e=2

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$⟹ - 6 = \frac{3}{4} - \frac{( - 5) - 2}{f - ( - 5)}$

$⟹ - 6 = \frac{3}{4} - \frac{( -7)}{f + 5}$

$⟹ - 6 = \frac{3}{4} + \frac{7}{f + 5}$

$⟹ - 6 - \frac{3}{4} = \frac{7}{f + 5}$

$⟹ \frac{ - 24 - 3}{4} = \frac{7}{f + 5}$

$⟹ - \frac{27}{4} = \frac{7}{f + 5}$

$⟹ - 27(f + 5) = 28$

$⟹ - 27f - 135 = 28$

$⟹ - 27f = 28 + 135$

$⟹ - 27f = 163$

$⟹f = \frac{163}{ - 27}$

∴$f = - \frac{163}{27}$

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Answer 2

Answer:

⟹−6=43−f−(−5)(−5)−2

⟹ - 6 = \frac{3}{4} - \frac{( -7)}{f + 5}⟹−6=43−f+5(−7)

⟹ - 6 = \frac{3}{4} + \frac{7}{f + 5}⟹−6=43+f+57

⟹ - 6 - \frac{3}{4} = \frac{7}{f + 5}⟹−6−43=f+57

⟹ \frac{ - 24 - 3}{4} = \frac{7}{f + 5}⟹4−24−3=f+57

⟹ - \frac{27}{4} = \frac{7}{f + 5}⟹−427=f+57

⟹ - 27(f + 5) = 28⟹−27(f+5)=28

⟹ - 27f - 135 = 28⟹−27f−135=28

⟹ - 27f = 28 + 135⟹−27f=28+135

⟹ - 27f = 163⟹−27f=163

⟹f = \frac{163}{ - 27}⟹f=−27163

∴f = - \frac{163}{27}f=−27163