Question

$8x - \frac{7}{2} = \frac{6x}{5} + \frac{3}{5}$
Cuál es el valor de "x"?​

Answer 1

Explicación paso a paso:

$8x - \frac{7}{2} = \frac{6}{5} x + \frac{3}{5} \\ \\ 8x - \frac{6}{5}x = \frac{3}{5} + \frac{7}{2} \\ \\ \frac{40 - 6}{5} x = \frac{6 + 35}{10} \\ \\ \frac{34}{5} x = \frac{41}{10} \\ \\ x = \frac{41}{10} \div \frac{34}{5} \\ \\ x = \frac{205}{340} \\ \\ x = \frac{41}{68} \\ \\ comprobación \\ 8 \times \frac{41}{68} - \frac{7}{2} = \frac{6}{5} \times \frac{41}{68} + \frac{3}{5} \\ \\ \frac{328}{68} - \frac{7}{2} = \frac{246}{340} + \frac{3}{5} \\ \\ \frac{328 - 238}{68} = \frac{246 + 204}{340} \\ \\ \frac{90}{68} = \frac{450}{340} \\ \\ \frac{45}{34} = \frac{45}{34}$