3. Решите уравнение: 1)x=; 3)x=12; 2 7 15 5) x:=2; 15 28 16 8 2)x = 1; 4) 3x =; 6):x=

1) \[\frac{6}{5}x = \frac{3}{5}\] \[x = \frac{3}{5} : \frac{6}{5}\] \[x = \frac{3}{5} \cdot \frac{5}{6}\] \[x = \frac{3 \cdot 5}{5 \cdot 6}\] \[x = \frac{1 \cdot 1}{1 \cdot 2}\] \[x = \frac{1}{2}\]

2) \[\frac{4}{7}x = 1\] \[x = 1 : \frac{4}{7}\] \[x = 1 \cdot \frac{7}{4}\] \[x = \frac{7}{4}\] \[x = 1 \frac{3}{4}\]

3) \[\frac{3}{4}x = 12\] \[x = 12 : \frac{3}{4}\] \[x = 12 \cdot \frac{4}{3}\] \[x = \frac{12 \cdot 4}{3}\] \[x = \frac{4 \cdot 4}{1}\] \[x = 16\]

4) \[3x = \frac{2}{3}\] \[x = \frac{2}{3} : 3\] \[x = \frac{2}{3} \cdot \frac{1}{3}\] \[x = \frac{2 \cdot 1}{3 \cdot 3}\] \[x = \frac{2}{9}\]

5) \[x : \frac{7}{15} = \frac{15}{28}\] \[x = \frac{15}{28} \cdot \frac{7}{15}\] \[x = \frac{15 \cdot 7}{28 \cdot 15}\] \[x = \frac{1 \cdot 1}{4 \cdot 1}\] \[x = \frac{1}{4}\]

6) \[\frac{16}{27}x = \frac{8}{9}\] \[x = \frac{8}{9} : \frac{16}{27}\] \[x = \frac{8}{9} \cdot \frac{27}{16}\] \[x = \frac{8 \cdot 27}{9 \cdot 16}\] \[x = \frac{1 \cdot 3}{1 \cdot 2}\] \[x = \frac{3}{2}\] \[x = 1 \frac{1}{2}\]