Question

anyone pls answer this question pls

Answer 1

Answer:

x = -8/15 I think

why do I have to write 20 chars

Answer 2

$\bf \underline{ \underline{\maltese\:Given} }$

$\sf \implies \dfrac{1 - x}{6} + \dfrac{2x}{3} + \dfrac{1 - 7x}{4} = 2 \dfrac{1}{6}$

$\bf \underline{ \underline{\maltese \: To \: find } }$

$\sf \implies Value \: of \: x = \: ?$

$\bf \underline{ \underline{\maltese \: Solution } }$

$\sf \implies \dfrac{1 - x}{6} + \dfrac{2x}{3} + \dfrac{1 - 7x}{4} = 2 \dfrac{1}{6}$

Convert the mixed fraction into improper fraction.

$\sf \implies \dfrac{1 - x}{6} + \dfrac{2x}{3} + \dfrac{1 - 7x}{4} = \dfrac{13}{6}$

Find the common denominator.

$\sf \implies \dfrac{(1 - x) \times 2}{12} + \dfrac{(2x) \times 4}{12} + \dfrac{(1 - 7x) \times 3}{12} = \dfrac{13}{6}$

Combine the numerators over common denominator.

$\sf \implies \dfrac{(1 - x) \times 2 \: + \:(2x) \times 4 \: + \:(1 - 7x) \times 3 \: }{12} = \dfrac{13}{6}$

Simplify each term.

$\sf \implies \dfrac{2 - 2x\: + \: 8x \: + \:3 - 21x \: }{12} = \dfrac{13}{6}$

Add 2 and 3.

$\sf \implies \dfrac{- 2x\: + \: 8x \: + \:5 - 21x \: }{12} = \dfrac{13}{6}$

Add -2x and 8x.

$\sf \implies \dfrac{6x \: + \:5 - 21x \: }{12} = \dfrac{13}{6}$

Subtract 21x from 6x.

$\sf \implies \dfrac{ - 15x + 5 }{12} = \dfrac{13}{6}$

Do cross multiplication.

$\sf \implies 6 (- 15x + 5 ) = 12(13)$

$\sf \implies 6 (- 15x + 5 ) = 156$

$\sf \implies - 90x + 30= 156$

$\sf \implies - 90x = 156 - 30$

$\sf \implies - 90x = 126$

$\sf \implies x = \cancel{ - \dfrac{126}{90} }$

$\sf \implies x = - \dfrac{7}{5}$

Therefore,

$\sf \implies \underline{\boxed{ \sf Value \: of \: x= -\dfrac{7}{5} }}$