Question

Решите уравнение 2/7x-1/2=3/4+5/14x

Answer 1

$\frac{2}{7} x - \frac{1}{2} = \frac{3}{4} + \frac{5}{14} x \\ \frac{2}{7} x - \frac{5}{14} x = \frac{3}{4} + \frac{1}{2} \\ \frac{2 \times 2 - 5}{14} x = \frac{3 + 2 }{4} \\ - \frac{1}{14} x = \frac{5}{4} \\ x = \frac{5}{4} \div ( - \frac{1}{14} ) = - \frac{5 \times 14}{4} = - \frac{5 \times 7}{2} = - \frac{35}{2} \\ x = - 17 \frac{1}{2} = - 17.5$