Question

решите уравнение (5/6 *х-1,1)*0,8=5/6*х-1,98

Answer 1

$( \frac{5}{6} x - 1.1) \times 0.8 = \frac{5}{6} x - 1.98 \\ \frac{5 \times 4}{6 \times 5} x - 0.88 - \frac{5}{6} x = - 1.98 \\ \frac{4 - 5}{6} x = - 1.98 + 0.88 \\ - \frac{1}{6} x= - 1.1 \: \: \: \: \: | \times ( - 6) \\ x = 6.6$
проверим:

$( \frac{5}{6} \times 6.6 - 1.1) \times 0.8 = \frac{5}{6} \times 6.6 - 1.98 \\ ( \frac{5 \times 66}{6 \times 10} - 1.1) \times 0.8 = \frac{5 \times 66}{6 \times 10} - 1.98 \\ (\frac{11}{2} - 1.1) \times 0.8 = \frac{11}{2} - 1.98 \\ (5.5 - 1.1) \times 0.8 = 5.5 - 1.98 \\ 4.4 \times 0.8 = 3.52 \\ 3.52 = 3.52$