Question

Решить з повним рішенням​

Answer 1

1) В

$\frac{1}{15} x + \frac{2}{3} x = 22 \\ \frac{1}{15} x + \frac{10}{15} x = 22 \\ \frac{11}{15} x = 22 \\ x = 22 \div \frac{11}{15} \\ x = \frac{22 \times 15}{11} \\ x = 30$

2) Г

$- \frac{4}{7} x + \frac{2}{5} x = 6 \\ - \frac{20}{35} x + \frac{14}{35} x = 6 \\ - \frac{6}{35} x = 6 \\ x = 6 \div ( - \frac{6}{35} ) \\ x = - \frac{6 \times 35}{6} \\ x = - 35$

3) Б

$- \frac{3}{4} x - \frac{1}{8} x = - 7 \\ - \frac{6}{8} - \frac{1}{8} x = - 7 \\ - \frac{7}{8} x = - 7 \\ \frac{7}{8} x = 7 \\ x = 7 \div \frac{7}{8} \\ x = \frac{7 \times 8}{7} \\ x = 8$

4) Д

$\frac{1}{6} x + \frac{1}{4} x = - 1 \frac{1}{4} \\ \frac{2}{12} x + \frac{3}{12} x = - \frac{5}{4} \\ \frac{5}{12} x = - \frac{5}{4} \\ x = - \frac{5}{4} \div \frac{5}{12} \\ x = - \frac{5 \times 12}{4 \times 5} \\ x = - 3$

Answer 2

Пошаговое объяснение:

№1

1/15х + 2/3х = 22

1/15х + 10/15х = 22

11/15х = 22

х = 22 : 11/15

х = 22 * 15/11

х = 2 * 15/1

х = 30/1

х = 30 (В)

№2

-4/7х + 2/5х = 6

-20/35х + 14/35х = 6

-6/35х = 6

х = 6 : (-6/35)

х = 6 * (-35/6)

х = 1 * (-35/1)

х = -35/1

х = -35 (Г)

№3

-3/4х - 1/8х = -7

-6/8х - 1/8х = -7

-7/8х = -7

х = -7 : (-7/8)

х = -7 * (-8/7)

х = -1 * (-8/1)

х = 8/1

х = 8 (Б)

№4

1/6х + 1/4х = -1 1/4

2/12х + 3/12х = -5/4

5/12х = -5/4

х = -5/4 : 5/12

х = -5/4 * 12/5

х = -1/1 * 3/1

х = -3/1

х = -3 (Д)