Question

6. Resuelve las siguientes ecuaciones : a. 3/4m + 2/5 = -3/5 b. – 2/7 + 1/3 x = 1/10

Answer 1

Explicación paso a paso:

A)

$\frac{3m}{4} + \frac{2}{5} = - \frac{3}{5} \\ \frac{15m + 8}{20} = - \frac{3}{5} \\ 5(15m + 8) = - 3 \times 20 \\ 75m + 40 = - 60 \\ 75m = - 60 - 40 \\ 75m = - 100 \\ m = \frac{ - 100}{75} \\ m = - \frac{4}{3}$

B)

$- \frac{2}{7} + \frac{1x}{3} = \frac{1}{10} \\ \frac{ - 14 + 7x}{21} = \frac{1}{10} \\ 10( - 14 + 7x) = 1 \times 21 \\ - 140 + 70x = 21 \\ 70x = 21 + 140 \\ 70x = 161 \\ x = \frac{161}{70} \\ x = \frac{23}{10}$