Math, asked by TirthaMirani, 5 hours ago

if 1 - x/2 = 3x + 5/3 then x is
pls answer fast
with explainnation​

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Answers

Answered by Anonymous
50

Answer

  •  \sf {x = \cfrac{-7}{9}}

Given

  • \tt{\cfrac{1 - x}{2}  =  \cfrac{3x + 5}{3}}

To Find

  • The value of x.

Step By Step Explanation

In this question we need to find the value of x. We can easily find this by using basic arithmetic. First we will transpose the denominators to other side to make our calculations easy and then we can easily solve this equation.

So let's do it !!

 \longmapsto\tt \cfrac{1 - x}{2}  =  \cfrac{3x + 5}{3}  \\  \\  \longmapsto\tt 3(1 - x) = 2(3x + 5) \\  \\ \longmapsto\tt  3 - 3x = 6x + 10 \\  \\ \longmapsto\tt   - 3x - 6x = 10 - 3 \\  \\  \longmapsto\tt  - 9x = 7 \\  \\ \longmapsto\tt x = \cfrac{7}{-9}\\ \\\tt{But\: denominator\: is\: never\:negative\:So\downarrow} \\\\ \longmapsto\bf{\green{x =  \cfrac{ - 7}{9}}}

Therefore,  \sf {x = \cfrac{-7}{9}}

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