8α + 0,73 = 4,61 - 8α

Решим уравнения по очереди: 1. $8\alpha + 0,73 = 4,61 - 8\alpha$ $8\alpha + 8\alpha = 4,61 - 0,73$ $16\alpha = 3,88$ $\alpha = 3,88 : 16$ $\alpha = 0,2425$ 2. $4x + 15 = 6x + 17$ $15 - 17 = 6x - 4x$ $-2 = 2x$ $x = -1$ 3. $3x + 7 = 3x + 11$ $3x - 3x = 11 - 7$ $0 = 4$ Корней нет. 4. $9x + 2,65 = 36,85 - 9x$ $9x + 9x = 36,85 - 2,65$ $18x = 34,2$ $x = 34,2 : 18$ $x = 1,9$ 5. $3x - 1 - x = 5 + x$ $2x - 1 = 5 + x$ $2x - x = 5 + 1$ $x = 6$ 6. $5 - x + 4 = 3x - 1$ $9 - x = 3x - 1$ $9 + 1 = 3x + x$ $10 = 4x$ $x = 10 : 4$ $x = 2,5$ 7. $3 - 2x = 3x - 15$ $3 + 15 = 3x + 2x$ $18 = 5x$ $x = 18 : 5$ $x = 3,6$ 8. $\frac{2x-5}{6} = \frac{3-5x}{4}$ Перекрестное умножение: $4(2x - 5) = 6(3 - 5x)$ $8x - 20 = 18 - 30x$ $8x + 30x = 18 + 20$ $38x = 38$ $x = 1$ 9. $3x - 3 - 6x - 8 = 1$ $-3x - 11 = 1$ $-3x = 1 + 11$ $-3x = 12$ $x = 12 : (-3)$ $x = -4$