Math, asked by pargat20, 9 months ago

12-2/3(2х-5) + 3x =5​

Answers

Answered by Garvit6396
0

Answer:

-31/5 or -6.2

answer .......

Answered by Anonymous
29

Given

\implies\sf 12-\frac{2}{3}(2x-5)+3x=5

To find

Find the value of x

Solution

\implies\sf 12-\frac{2}{3}(2x-5)+3x=5 \\ \\ \implies\sf \frac{-2(2x-5)+9x}{3}=5-12 \\ \\ \implies\sf \frac{-4x+10+9x}{3}=-7 \\ \\ \implies\sf 5x+10=-21 \\ \\ \implies\sf 5x=-21-10 \\ \\ \implies\sf 5x=-31 \\ \\ \implies\sf x=\frac{-31}{5}

Verification

\implies\sf 12-\frac{2}{3}(2x-5)+3x=5

Putting the value of x

LHS

\implies\sf 12-\frac{2}{3}(2x-5)+3x \\ \\ \implies\sf 12-\frac{2}{3}(2\times\frac{(-31)}{5})+3\times\frac{(-31)}{5} \\ \\ \implies\sf 12-\frac{2}{3}(\frac{-62}{5}-5)+\frac{(-93)}{5} \\ \\ \implies\sf 12-\frac{2}{3}(\frac{-62-25}{5})-\frac{93}{5} \\ \\ \implies\sf 12+\frac{2}{3}\times\frac{87}{5}-\frac{93}{5} \\ \\ \implies\sf 12+\frac{174}{15}-\frac{93}{5} \\ \\ \implies\sf \frac{180+174-279}{15} \\ \\ \implies\sf \frac{75}{15}

\implies\sf 5 = RHS verified

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