Math, asked by hellipittu, 6 hours ago

please answer 8 th one please with explanation​​

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Answered by gurupadamanna284
0

Answer:

-26/172

Step-by-step explanation:

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Answered by Anonymous
23

Answer:

Question :-

\leadsto \tt{\dfrac{5x + 1}{2} - \dfrac{x - 2}{6} =\: \dfrac{2x + 4}{3}}\\

To Find :-

  • What is the value of x.

Solution :-

\bigstar\: \: \sf\bold{\purple{\dfrac{5x + 1}{2} - \dfrac{x - 2}{6} =\: \dfrac{2x + 4}{3}}}

\longrightarrow \bf \dfrac{5x + 1}{2} - \dfrac{x - 2}{6} =\: \dfrac{2x + 4}{3}

\longrightarrow \sf \dfrac{3(5x + 1) - 1(x - 2)}{6} =\: \dfrac{2x + 4}{3}

\longrightarrow \sf \dfrac{15x + 3 - x + 2}{6} =\: \dfrac{2x + 4}{3}

\longrightarrow \sf \dfrac{15x - x + 3 + 2}{6} =\: \dfrac{2x + 4}{3}

\longrightarrow \sf \dfrac{14x + 5}{6} =\: \dfrac{2x + 4}{3}

By doing cross multiplication we get,

\longrightarrow \sf 3(14x + 5) =\: 6(2x + 4)

\longrightarrow \sf 42x + 15 =\: 12x + 24

\longrightarrow \sf 42x - 12x =\: 24 - 15

\longrightarrow \sf 30x =\: 9

\longrightarrow \sf x =\: \dfrac{\cancel{9}}{\cancel{30}}

\longrightarrow \sf x =\: \dfrac{3}{10}

\longrightarrow \sf\bold{\red{x =\: \dfrac{3}{10}}}

{\small{\bold{\underline{\therefore\: The\: value\: of\: x\: is\: \dfrac{3}{10}\: .}}}}

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