Question

resuelve las siguientes ecuaciones
es urgenteeee!!!​

Answer 1

$a)1 - \frac{x}{5} = x + \frac{2}{5} \\ 5(1 - \frac{x}{5} ) = 5(x + \frac{2}{5} ) \\ 5 - x = 5x + 2 \\ 5 - 2 = 5x + x \\ 3 = 6x \\ \frac{3}{6} = x \\ \frac{1}{2} = x$

$b)x + \frac{1}{2} = \frac{5x}{8} - \frac{3}{4} \\ 8(x + \frac{1}{2} ) = 8( \frac{5x}{8} - \frac{3}{4} ) \\ 8x + 4 = 5x - 6 \\ 8x - 5x = - 6 - 4 \\ 3x = - 10 \\ x = - \frac{10}{3}$

$c) \frac{2x}{3} - 4( \frac{x}{5} - \frac{1}{6} ) = \frac{2}{15} \\ \frac{2x}{3} - \frac{4x}{5} + \frac{4}{6} = \frac{2}{15} \\ \frac{2x}{3} - \frac{4x}{5} + \frac{2}{3} = \frac{2}{15} \\ 15( \frac{2x}{3} - \frac{4x}{5} + \frac{2}{3} ) = 15 \times \frac{2}{15 } \\ 10x - 12x + 10 = 2 \\ - 2x + 10 = 2 \\ 10 - 2 = 2x \\ 8 = 2x \\ 4 = x$