как решить линейное уравнение 1)3(12x-4)=240 2)8(8x-4)=608 3)0,5(x-70)=0,3(x-40)-27 4)8(x-0,3)-4(5x+0,2)=5x+1,9 5)3,7(x+20)-9,7x=66,2 6)2,9(x+20)-8,9x154 7)3,5(x+20)-6,5x=14,2…

Давайте последовательно решим каждое из данных линейных уравнений.

1. \(3(12x - 4) = 240\)

Решаем: \[ 36x - 12 = 240 \] \[ 36x = 240 + 12 \] \[ 36x = 252 \] \[ x = \frac{252}{36} = 7 \]

2. \(8(8x - 4) = 608\)

Решаем: \[ 64x - 32 = 608 \] \[ 64x = 608 + 32 \] \[ 64x = 640 \] \[ x = \frac{640}{64} = 10 \]

3. \(0.5(x - 70) = 0.3(x - 40) - 27\)

Решаем: \[ 0.5x - 35 = 0.3x - 12 - 27 \] \[ 0.5x - 35 = 0.3x - 39 \] \[ 0.5x - 0.3x = -39 + 35 \] \[ 0.2x = -4 \] \[ x = \frac{-4}{0.2} = -20 \]

4. \(8(x - 0.3) - 4(5x + 0.2) = 5x + 1.9\)

Решаем: \[ 8x - 2.4 - 20x - 0.8 = 5x + 1.9 \] \[ -12x - 3.2 = 5x + 1.9 \] \[ -12x - 5x = 1.9 + 3.2 \] \[ -17x = 5.1 \] \[ x = -\frac{5.1}{17} \approx -0.3 \]

5. \(3.7(x + 20) - 9.7x = 66.2\)

Решаем: \[ 3.7x + 74 - 9.7x = 66.2 \] \[ -6x + 74 = 66.2 \] \[ -6x = 66.2 - 74 \] \[ -6x = -7.8 \] \[ x = \frac{-7.8}{-6} = 1.3 \]

6. \(2.9(x + 20) - 8.9x = 154\)

Решаем: \[ 2.9x + 58 - 8.9x = 154 \] \[ -6x + 58 = 154 \] \[ -6x = 154 - 58 \] \[ -6x = 96 \] \[ x = -\frac{96}{6} = -16 \]

7. \(3.5(x + 20) - 6.5x = 14.2\)

Решаем: \[ 3.5x + 70 - 6.5x = 14.2 \] \[ -3x + 70 = 14.2 \] \[ -3x = 14.2 - 70 \] \[ -3x = -55.8 \] \[ x = \frac{-55.8}{-3} \approx 18.6 \]

8. \((20x + 50) \times 2 = 300\)

Решаем: \[ 20x + 50 = 150 \] \[ 20x = 150 - 50 \] \[ 20x = 100 \] \[ x = \frac{100}{20} = 5 \]

9. \(-3(-15x + 2) = -6\)

Решаем: \[ 45x - 6 = -6 \] \[ 45x = -6 + 6 \] \[ 45x = 0 \] \[ x = 0 \]

Вот все решения уравнений:

1. \( x = 7 \)
2. \( x = 10 \)
3. \( x = -20 \)
4. \( x \approx -0.3 \)
5. \( x = 1.3 \)
6. \( x = -16 \)
7. \( x \approx 18.6 \)
8. \( x = 5 \)
9. \( x = 0 \)