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X/13 - 1 = 5x/2 + 1/2
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2 Answers

2 votes
x = -13/21. i used algebra to solve this. it’s too long to type out unless you want an explanation
User Meeech
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5 votes


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

the given expression can be solved as follows ~


(x)/(13) - 1 = (5x)/(2) + (1)/(2) \\

taking LCM both the sides ,


(x - 13)/(13) = (5x + 1)/(2) \\

on cross multiplying ,


(x - 13)2 = (5x + 1)13 \\ \\ \implies \: 2x - 26 = 65x + 13

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


65x - 2x = - 26 - 13 \\ \\ \implies \: 63x = - 39 \\ \\ \implies \: x = \frac{\cancel{ - 39}}{\cancel{63}}

on simplifying the equation ,


\implies (-13)/(21)\\

hope helpful ~

User ItsPete
by
8.1k points

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