-. Решите уравнение: 63 1)5x = 5; 3 3)4x=12; 2 4) 3x = 3; 7 2)x = 1; 15 5) x:15=28; 168 6): x=9.

Ответ: 1) x=1/2; 2) x=7/4; 3) x=16; 4) x=2/9; 5) x=15/28; 6) x=6

1. \[\frac{6}{5}x = \frac{3}{5}\]\[x = \frac{3}{5} : \frac{6}{5}\]\[x = \frac{3}{5} \cdot \frac{5}{6} = \frac{3 \cdot 5}{5 \cdot 6} = \frac{1 \cdot 1}{1 \cdot 2} = \frac{1}{2}\]
2. \[\frac{4}{7}x = 1\]\[x = 1 : \frac{4}{7}\]\[x = 1 \cdot \frac{7}{4} = \frac{7}{4}\]
3. \[\frac{3}{4}x = 12\]\[x = 12 : \frac{3}{4}\]\[x = 12 \cdot \frac{4}{3} = \frac{12 \cdot 4}{3} = \frac{4 \cdot 4}{1} = 16\]
4. \[3x = \frac{2}{3}\]\[x = \frac{2}{3} : 3\]\[x = \frac{2}{3} \cdot \frac{1}{3} = \frac{2 \cdot 1}{3 \cdot 3} = \frac{2}{9}\]
5. \[x : \frac{7}{15} = \frac{15}{28}\]\[x = \frac{15}{28} \cdot \frac{7}{15}\]\[x = \frac{15 \cdot 7}{28 \cdot 15} = \frac{1 \cdot 1}{4 \cdot 1} = \frac{1}{4}\]
6. \[\frac{16}{27} : x = \frac{8}{9}\]\[x = \frac{16}{27} : \frac{8}{9}\]\[x = \frac{16}{27} \cdot \frac{9}{8} = \frac{16 \cdot 9}{27 \cdot 8} = \frac{2 \cdot 1}{3 \cdot 1} = \frac{2}{3}\]

Ответ: 1) x=1/2; 2) x=7/4; 3) x=16; 4) x=2/9; 5) x=1/4; 6) x=2/3