Задание 1. Решите уравнение 1) $$\frac{3}{x} = \frac{9}{15}$$ 3) $$\frac{14}{28} = \frac{7}{x}$$ 5) $$\frac{10}{x} = \frac{15}{30}$$ 7) $$\frac{2}{x} = \frac{6}{12}$$ 9) $$\frac{2}{x} = \frac{6}{24}$$ 2) $$\frac{5}{x} = \frac{12}{20}$$ 4) $$\frac{4}{16} = \frac{x}{8}$$ 6) $$\frac{10}{25} = \frac{5}{x}$$ 8) $$\frac{4}{x} = \frac{16}{32}$$ 10) $$\frac{6}{8} = \frac{12}{32}$$

Выполним решение уравнений по порядку: 1) $$\frac{3}{x} = \frac{9}{15}$$ Используем свойство пропорции: $$9 \cdot x = 3 \cdot 15$$ $$9x = 45$$ $$x = \frac{45}{9}$$ $$x = 5$$ 2) $$\frac{5}{x} = \frac{12}{20}$$ $$12 \cdot x = 5 \cdot 20$$ $$12x = 100$$ $$x = \frac{100}{12}$$ $$x = \frac{25}{3}$$ $$x = 8\frac{1}{3}$$ 3) $$\frac{14}{28} = \frac{7}{x}$$ $$14 \cdot x = 7 \cdot 28$$ $$14x = 196$$ $$x = \frac{196}{14}$$ $$x = 14$$ 4) $$\frac{4}{16} = \frac{x}{8}$$ $$16 \cdot x = 4 \cdot 8$$ $$16x = 32$$ $$x = \frac{32}{16}$$ $$x = 2$$ 5) $$\frac{10}{x} = \frac{15}{30}$$ $$15 \cdot x = 10 \cdot 30$$ $$15x = 300$$ $$x = \frac{300}{15}$$ $$x = 20$$ 6) $$\frac{10}{25} = \frac{5}{x}$$ $$10 \cdot x = 5 \cdot 25$$ $$10x = 125$$ $$x = \frac{125}{10}$$ $$x = 12,5$$ 7) $$\frac{2}{x} = \frac{6}{12}$$ $$6 \cdot x = 2 \cdot 12$$ $$6x = 24$$ $$x = \frac{24}{6}$$ $$x = 4$$ 8) $$\frac{4}{x} = \frac{16}{32}$$ $$16 \cdot x = 4 \cdot 32$$ $$16x = 128$$ $$x = \frac{128}{16}$$ $$x = 8$$ 9) $$\frac{2}{x} = \frac{6}{24}$$ $$6 \cdot x = 2 \cdot 24$$ $$6x = 48$$ $$x = \frac{48}{6}$$ $$x = 8$$ 10) $$\frac{6}{8} = \frac{12}{32}$$ $$6 \cdot 32 = 8 \cdot 12$$ $$192 = 96$$ Уравнение не имеет смысла, следовательно, нет решения.