Question

1/6×+1/12=_3/2×+1/6 @yuden xfaa​

Answer 1

Explicación paso a paso:

$\frac{1}{6} x + \frac{1}{12} = \frac{ - 3}{2} x + \frac{1}{6} \\ \frac{x}{6} - \frac{ - 3x}{2} = \frac{1}{6} - \frac{1}{12} \\ \frac{ - 3x}{2} \times \frac{3}{3} = \frac{ - 9x}{6} \\ \frac{1}{6} \times \frac{2}{2} = \frac{2}{12} \\ \frac{x}{6 } - \frac{ - 9x}{6} = \frac{2}{12} - \frac{1}{12} \\ \frac{x + 9x}{6} = \frac{1}{12} \\ 12x + 108x = 6$

$120x = 6 \\ x = \frac{6}{120} = \frac{1}{20}$