Question

2,7 х - 5/16 = 1 3/4
2/9 * x + 3 5/14 = 6 11/21​ рівняння

Answer 1

Ответ:

1)

$x = \frac{55}{72}$

2)

$x = \frac{57}{4}$

Пошаговое объяснение:

1)

$2.7x - \frac{5}{16} = 1 \frac{3}{4}$

$2.7x - \frac{5}{16} = \frac{7}{4}$

$2.7x = \frac{7}{4} + \frac{5}{16}$

$2.7x = \frac{4 \times 7}{4 \times 4} + \frac{5}{16}$

$2.7x = \frac{28}{16} + \frac{5}{16}$

$2.7x = \frac{33}{16}$

$2 \frac{7}{10} x = \frac{33}{16}$

$\frac{27}{10} x = \frac{33}{16}$

$x = \frac{33}{16} \div \frac{27}{10}$

$x = \frac{33}{16} \times \frac{10}{27}$

$x = \frac{330}{432}$

$x = \frac{6 \times 55}{6 \times 72}$

$x = \frac{55}{72}$

Проверка:

$\frac{27}{10} \times \frac{55}{72} - \frac{5}{16} = \frac{7}{4}$

$\frac{1485}{720} - \frac{5}{16} = \frac{7}{4}$

$\frac{45 \times 33}{45 \times 16} - \frac{5}{16} = \frac{7}{4}$

$\frac{33}{16} - \frac{5}{16} = \frac{7}{4}$

$\frac{33 - 5}{16} = \frac{7}{4}$

$\frac{28}{16} = \frac{7}{4}$

$\frac{4 \times 7}{4 \times 4} = \frac{7}{4}$

$\frac{7}{4} = \frac{7}{4}$

$\frac{7}{4} - \frac{7}{4} = 0$

$0 = 0$

Ответ:

$x = \frac{55}{72}$

2)

$\frac{2}{9} x + 3 \frac{5}{14} = 6 \frac{11}{21}$

$\frac{2}{9} x + \frac{47}{14} = \frac{137}{21}$

$\frac{2}{9} x = \frac{137}{21} - \frac{47}{14}$

$\frac{2}{9} x = \frac{137 \times 14 - 47 \times 21}{21 \times 14}$

$\frac{2}{9} x = \frac{1918 - 987}{294}$

$\frac{2}{9} x = \frac{931}{294}$

$x = \frac{931}{294} \div \frac{2}{9}$

$x = \frac{931}{294} \times \frac{9}{2}$

$x = \frac{931 \times 9}{294 \times 2}$

$x = \frac{8379}{588}$

$x = \frac{147 \times 57}{147 \times 4}$

$x = \frac{57}{4}$

Проверка:

$\frac{2}{9} \times \frac{57}{4} + 3 \frac{5}{14} = 6 \frac{11}{21}$

$\frac{2}{9} \times \frac{57}{4} + \frac{47}{14} = \frac{137}{21}$

$\frac{114}{36} + \frac{47}{14} = \frac{137}{21}$

$\frac{114 \times 14 + 47 \times 36}{36 \times 14} = \frac{137}{21}$

$\frac{1596 + 1692}{504} = \frac{137}{21}$

$\frac{3288}{504} = \frac{137}{21}$

$\frac{3288}{504 } = \frac{24 \times 137}{24 \times 21}$

$\frac{3288}{504} = \frac{3288}{504}$

$\frac{3288}{504} - \frac{3288}{504} = 0$

$0 = 0$

Ответ:

$x = \frac{57}{4}$