Math, asked by EmmaWatson01, 11 months ago

slove for X \frac{1}{a} + \frac{1}{b} + \frac{1}{x} = \frac{1}{abx}

Answers

Answered by hozefancc
4

Step-by-step explanation:

Here's your answer

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Answered by tahseen619
4

(1-ab)/(b+a).

Step-by-step explanation:

Given:

\dfrac{1}{a} + \dfrac{1}{b} + \dfrac{1}{x} = \dfrac{1}{abx}

To find:

value of x

Solution:

\frac{1}{a} + \frac{1}{b} + \frac{1}{x}=\frac{1}{abx}\\\\\frac{1}{a} + \frac{1}{b}=\frac{1}{abx}-\frac{1}{x} \\  \\  \frac{b + a}{ab}  =  \frac{1 - ab}{abx} \:  \:  [\text{By Taking L.C.M}] \\\\ \frac{b + a}{\cancel{ab}}  =  \frac{1 - ab}{\cancel{ab}x} \\  \\ x(b + a) = 1 - ab  \: [\text{By Cross Multiple}] \\  \\ x =  \frac{1 - ab}{b + a}

Therefore, The required value of x is (1-ab)/(b+a).

Important Note

This question is related with equation with one variables. To simplify these types of questions you should know some basic rules.

i) sign of any no. or variable will change

between equal (=) like + will change in - and multiple will change in division.

ii) We can simply eliminate the no. from one side to another side if they are in multiple or have common factor.

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