Задания с 03.04.26 +=1 7+=

Задания с 03.04.26

1. +=1

Сначала упростим уравнение:

\(\frac{3}{4}\)x + \(\frac{1}{2}\) = \(\frac{5}{4}\)

Перенесем \(\frac{1}{2}\) в правую сторону:

\(\frac{3}{4}\)x = \(\frac{5}{4}\) - \(\frac{1}{2}\)

\(\frac{3}{4}\)x = \(\frac{5}{4}\) - \(\frac{2}{4}\)

\(\frac{3}{4}\)x = \(\frac{3}{4}\)

Разделим обе части на \(\frac{3}{4}\):

x = \(\frac{\frac{3}{4}}{\frac{3}{4}}\) = 1

x = 1

2. 7+=

Упростим уравнение:

\(\frac{7}{6}\)x + \(\frac{2}{9}\) = \(\frac{5}{9}\)

Перенесем \(\frac{2}{9}\) в правую сторону:

\(\frac{7}{6}\)x = \(\frac{5}{9}\) - \(\frac{2}{9}\)

\(\frac{7}{6}\)x = \(\frac{3}{9}\)

\(\frac{7}{6}\)x = \(\frac{1}{3}\)

Умножим обе стороны на \(\frac{6}{7}\):

x = \(\frac{1}{3}\) ⋅ \(\frac{6}{7}\)

x = \(\frac{6}{21}\)

x = \(\frac{2}{7}\)

x = \(\frac{2}{7}\)