Math, asked by shalinipandey6386, 2 months ago

solve the following equation (x-1)/5-(x-1)/3=x/2​

Answers

Answered by riyajsk
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Answer:

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Answered by Anonymous
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Answer:

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Step-by-step explanation:

 \frac{x - 1}{5}  -  \frac{x - 1}{3}  =  \frac{x}{2}  \\  \\ taking \:  \: lcm \\  \\ \frac{( x - 1) \times 3}{5 \times 3}  -  \frac{(x - 1) \times 5}{3 \times 5}  =  \frac{x}{2} \\  \\  \frac{3x - 3}{15}  -  \frac{5x - 5}{15}  =  \frac{x}{2}  \\  \\  \frac{3x - 3 - 5x + 5}{15}  =  \frac{x}{2}  \\  \\  \frac{ - 2x + 2}{ 15}  =  \frac{x}{2}  \\  \\by \:  \:  cross \: \:  multiplication \\  \\( - 2x + 2)(2) = (x)(15) \\  \\  - 4x + 4 = 15x \\  \\ 4 = 15x + 4x \\  \\ 4 = 19x \\  \\\implies x =  \frac{4}{19}

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