Question

. Find X value : 7x+4/x+2=-4/3. Full Marks : 1 A) -2/3 B) -5/6 C) -4/5 D) -23​

Answer 1

Hey mate ❤️

Here is your answer ⤵️

Solution :

$\longrightarrow \sf \frac{7x + 4 }{x + 2} = - \frac{4}{3}$

$\longrightarrow \sf 3(7x + 4) = -4 (x + 2)$

$\longrightarrow \sf 21x + 12 = - 4 x - 8$

$\longrightarrow \sf 21x + 4x = -12 - 8$

$\longrightarrow \sf 25x = - 20$

$\longrightarrow \sf x = - \frac{20}{25 }$

$\longrightarrow \sf x = - \frac{\cancel{20}^{\: \: \cancel{5} × 4 }}{\cancel{25}_{\: \: 5 × \cancel{5} }}$

$\longrightarrow \underline{\boxed{ \sf x = - \frac{4}{5}}}$

Hence, Option (C) is right ✔️

I hope it helps you ❤️✔️

Answer 2

Step-by-step explanation:

$\bf \underline{Given-}$

$\sf{\frac { 7 x + 4 } { x + 2 } = - \frac { 4 } { 3 }}$

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

$\textsf{the value of x = ?}$

$\bf \underline{Solution-}$

$\textsf{Given expression,}$

$\sf{\frac { 7 x + 4 } { x + 2 } = - \frac { 4 } { 3 }}$

$\sf{ \implies \: 3(7x + 4) = - 4(x + 2)}$

$\sf{ \implies \:21x + 12 = - 4(x + 2)}$

$\sf{ \implies \:21x + 12 = - 4x - 8}$

$\sf{ \implies \:21x + 12 + 4x = - 8}$

$\sf{ \implies \:25x + 12 = - 8}$

$\sf{ \implies \:25x = -8 - 12}$

$\sf{ \implies \:25x = - 20}$

$\sf{ \implies \:x = \frac{ - 20}{25} }$

$\textsf{Now, reduce the fraction \frac{-20}{25} to the lowest terms by extracting and cancaling out 5.}$

$\sf{ \implies \:x = - \frac{4}{5} }$

$\bf \underline{Hence, the\: value\:of\:X\:is\: -\frac{4}{5}}$

$\bf \underline{Learn\: more-}$

$\textsf{Solve the equation: 9p+7/2 - (1+p - p-2/7) = 35}$

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