Question

x / 5 + (x - 1) / 3 = 1/5 find the value of x​

Answer 1

Answer:

x=1

Step-by-step explanation:

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Answer 2

Answer:

$\frac{x}{5} + \frac{(x - 1)}{3} = \frac{1}{5}$

$lcm \: of \: 5 \: and \: 3 \: is \: 15$

$( \frac{x}{5} \times \frac{3}{3} ) + (\frac{(x - 1)}{3} \times \frac{5}{5}) = \frac{1}{5}$

$\frac{3x}{15} + \frac{3(x - 1)}{15} = \frac{1}{5}$

$\frac{3x + 3(x - 1)}{15} = \frac{1}{5}$

$\frac{6( {x}^{2} - 1)}{ 15} = \frac{1}{5}$

$6( {x}^{2} - 1) = \frac{1}{5} \times 15$

$6( {x}^{2} - 1) = 3$

$( {x}^{2} - 1) = \frac{3}{6}$

$( {x}^{2} - 1) = \frac{1}{2}$

${x}^{2} - 1 = \frac{1}{2}$

${x}^{2} = \frac{1}{2} + 1$

${x}^{2} = \frac{1}{2} + \frac{2}{2}$

${x}^{2} = \frac{3}{2}$

$x = \sqrt{ \frac{3}{2} }$