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X/3 + 1 = ×/8 + 1/11
solve the question please pls​

User Chandan
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1 Answer

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\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

the following expression can be solved as follows ~


(x)/(3) + 1 = (x)/(8) + (1)/(11) \\

Taking LCM on both the sides ,


(x + 3)/(3) = (11x + 8)/(88) \\

On cross multiplying ,


( x + 3)88 = (11x + 8)3 \\ \\ \implies \: 88x + 264 = 33x + 24

let's now gather the like terms at either sides of the equation and solve ~


88x - 33x = 24 - 264 \\ \\ \implies \: 55x = - 240 \\ \\ \implies \: x = \cancel( - 240)/(55) \\

on further simplifying ,


\implies x = ( - 48 )/( 11) \\

hope helpful ~

User Barath Ravikumar
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3.7k points