Question

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

Answer 1

Answer:

3x−1

− 21+x + 3x−1 =3106x−2−5−5x+5x−5 =310/6x−12 =36x = 42x =7

Answer 2

Answer:

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Explanation:

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