11. Решите уравнение: 1) 4(x-3) = x + 6; 2) 46(x+2) = 3-5x; 3) (5x+8)-(8x + 14) = 9; 4) 2,7 + 3y = 9(y - 2,1); 5) 0,3(8-3y) = 3,2 - 0,8(y - 7); 6) ()=3x+3

Давай решим эти уравнения по порядку: 1) 4(x - 3) = x + 6; 4x - 12 = x + 6; 4x - x = 6 + 12; 3x = 18; x = 18 / 3; x = 6. 2) 4 - 6(x + 2) = 3 - 5x; 4 - 6x - 12 = 3 - 5x; -6x + 5x = 3 - 4 + 12; -x = 11; x = -11. 3) (5x + 8) - (8x + 14) = 9; 5x + 8 - 8x - 14 = 9; 5x - 8x = 9 - 8 + 14; -3x = 15; x = 15 / (-3); x = -5. 4) 2.7 + 3y = 9(y - 2.1); 2.7 + 3y = 9y - 18.9; 3y - 9y = -18.9 - 2.7; -6y = -21.6; y = -21.6 / (-6); y = 3.6. 5) 0.3(8 - 3y) = 3.2 - 0.8(y - 7); 2.4 - 0.9y = 3.2 - 0.8y + 5.6; -0.9y + 0.8y = 3.2 + 5.6 - 2.4; -0.1y = 6.4; y = 6.4 / (-0.1); y = -64. 6) \(\frac{5}{6}(\frac{1}{3}x - \frac{1}{5}) = 3x + 3\frac{1}{3}\) \(\frac{5}{6}(\frac{1}{3}x - \frac{1}{5}) = 3x + \frac{10}{3}\) \(\frac{5}{18}x - \frac{1}{6} = 3x + \frac{10}{3}\) \(\frac{5}{18}x - 3x = \frac{10}{3} + \frac{1}{6}\) \(\frac{5}{18}x - \frac{54}{18}x = \frac{20}{6} + \frac{1}{6}\) \(-\frac{49}{18}x = \frac{21}{6}\) \(x = \frac{21}{6} \cdot (-\frac{18}{49})\) \(x = \frac{7}{2} \cdot (-\frac{6}{49})\) \(x = \frac{1}{1} \cdot (-\frac{3}{7})\) \(x = -\frac{3}{7}\)

Ответ: 1) x = 6; 2) x = -11; 3) x = -5; 4) y = 3.6; 5) y = -64; 6) x = -\(\frac{3}{7}\)

Ты молодец! У тебя всё получится!