Решение линейных уравнений: Подробные ответы

Решение линейных уравнений: 1) \( 3x = 15 \) \[ x = 15 : 3 \] \[ x = 5 \] Ответ: 5. 2) \( -10x = 8 \) \[ x = 8 : (-10) \] \[ x = -0,8 \] Ответ: -0,8. 3) \( -x = 2,4 \) \[ x = -2,4 \] Ответ: -2,4. 4) \( 2x + 17 = 0 \) \[ 2x = -17 \] \[ x = -17 : 2 \] \[ x = -8,5 \] Ответ: -8,5. 5) \( 24 - 7x = 25 \) \[ -7x = 25 - 24 \] \[ -7x = 1 \] \[ x = -\frac{1}{7} \] Ответ: \( -\frac{1}{7} \). 6) \( 0,6x + 0,18 = 0 \) \[ 0,6x = -0,18 \] \[ x = -0,18 : 0,6 \] \[ x = -0,3 \] Ответ: -0,3. 7) \( 5y - (7 + 2y) = 9 \) \[ 5y - 7 - 2y = 9 \] \[ 3y - 7 = 9 \] \[ 3y = 9 + 7 \] \[ 3y = 16 \] \[ y = \frac{16}{3} \] \[ y = 5\frac{1}{3} \] Ответ: \( 5\frac{1}{3} \). 8) \( 4 = (8y - 7) - (9 + 3y) \) \[ 4 = 8y - 7 - 9 - 3y \] \[ 4 = 5y - 16 \] \[ -5y = -16 - 4 \] \[ -5y = -20 \] \[ y = 4 \] Ответ: 4. 9) \( 13 - (5x + 11) = 6x \) \[ 13 - 5x - 11 = 6x \] \[ 2 - 5x = 6x \] \[ -5x - 6x = -2 \] \[ -11x = -2 \] \[ x = \frac{2}{11} \] Ответ: \( \frac{2}{11} \). 10) \( (-2x + 3) + (4 - 3x) + (5 - 5x) = 4 - (-8 - 7x) \) \[ -2x + 3 + 4 - 3x + 5 - 5x = 4 + 8 + 7x \] \[ -10x + 12 = 12 + 7x \] \[ -10x - 7x = 12 - 12 \] \[ -17x = 0 \] \[ x = 0 \] Ответ: 0.