Question

Resuelve las ecuaciones
1) 2/5x 6/10 = 7/3
2) 4 / 2 x -1 / 3 = 17 / 2

Answer 1

Explicación paso a paso:

$1) \\ \\ \frac{2}{5} x \times \frac{6}{10} = \frac{7}{3} \\ \\ \frac{2}{5} x \times \frac{3}{5} = \frac{7}{3} \\ \\ \frac{2}{5} x = \frac{7}{3} \div \frac{3}{5} \\ \\ \frac{2}{5} x = \frac{35}{9} \\ \\ x = \frac{35}{9} \div \frac{2}{5} \\ \\ x = \frac{175}{18} \\ \\ comprobacion \\ \\ \frac{2}{5} \times \frac{175}{18} \times \frac{6}{10} = \frac{7}{3} \\ \\ \frac{2100}{900} = \frac{7}{3} \\ \\ \\ \frac{7}{3} = \frac{7}{3} \\ \\simplificamos \: \\ 2100 \div 300 = 7 \: \: \\ 900 \div 300 = 3$

$2) \\ \frac{4}{2} x - \frac{1}{3} = \frac{17}{2} \\ \\ 2x = \frac{17}{2} + \frac{1}{3} \\ \\ 2x = \frac{51 + 2}{6} \\ \\ 2x = \frac{53}{6} \\ \\ x = \frac{53}{6} \div 2 \\ \\ x = \frac{53}{12} \\ \\ comprobacion \\ \frac{4}{2} \times \frac{53}{12} - \frac{1}{3} = \frac{17}{2} \\ \\ \frac{212}{24} - \frac{1}{3} = \frac{17}{2} \\ \\ \frac{53}{6} - \frac{1}{3} = \frac{17}{2} \\ \\ \frac{53 - 2}{6} = \frac{17}{2} \\ \\ \frac{51}{6} = \frac{17}{2} \\ \\ \frac{17}{2} = \frac{17}{2}$