Math, asked by srijani69, 3 months ago

1/3x-1/7(184-x)=8

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Answers

Answered by Anonymous
94

Corrected Question :

  • {\sf{\dfrac{1x}{3} - \dfrac{1}{7} \bigg(184 - x\bigg) = 8}}

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A N S W E R :

  • x = 368

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S O L U T I O N :

:\implies{\sf{\dfrac{1x}{3} - \dfrac{184 + x}{7} = 8}}

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:\implies{\sf{\dfrac{x - 184 + x}{7} = 8 × \dfrac{3}{1}}}

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:\implies{\sf{\dfrac{x}{1} - \dfrac{184 + x}{7} = 24}}

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:\implies{\sf{\dfrac{8x - 184}{7} = 24}}

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:\implies{\sf{8x = \dfrac{24}{1} + \dfrac{184}{7}}}

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:\implies{\sf{8x = \dfrac{168 + 184}{7}}}

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:\implies{\sf{x = \dfrac{352}{7} ÷ \dfrac{1}{8}}}

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:\implies{\sf{\dfrac{352 × 8}{7}}}

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:\implies{\sf{x = \dfrac{2576}{7}}}

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:\implies{\sf{x = \cancel{\dfrac{2576}{7}}}}

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:\implies{\underline{\boxed{\frak{\pink{x = 368}}}}}

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Hence,

  • \underline{\bf{x = 368}}

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~~~~\qquad\quad\therefore{\underline{\textsf{\textbf{Hence, Verified!}}}}

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