Решим уравнения: 1). x-3/6 = 7-x/3 2). 4y+5/2 = 2y+12/3 3). 12/1 = 4/x-1

Решение:

• 1. \[ \frac{x-3}{6} = \frac{7-x}{3} \]\[ 3(x-3) = 6(7-x) \]\[ 3x - 9 = 42 - 6x \]\[ 3x + 6x = 42 + 9 \]\[ 9x = 51 \]\[ x = \frac{51}{9} = \frac{17}{3} \]
• 2. \[ \frac{4y+5}{2} = \frac{2y+12}{3} \]\[ 3(4y+5) = 2(2y+12) \]\[ 12y + 15 = 4y + 24 \]\[ 12y - 4y = 24 - 15 \]\[ 8y = 9 \]\[ y = \frac{9}{8} \]
• 3. \[ \frac{12}{1} = \frac{4}{x-1} \]\[ 12(x-1) = 4 \]\[ 12x - 12 = 4 \]\[ 12x = 4 + 12 \]\[ 12x = 16 \]\[ x = \frac{16}{12} = \frac{4}{3} \]

Ответ:

• 1. \[ x = \frac{17}{3} \]
• 2. \[ y = \frac{9}{8} \]
• 3. \[ x = \frac{4}{3} \]