Д3-1 Решение уравнений М-6 ВАРИАНТ 1 1) -7x = 13 - 2(8x - 7). 2) -5x = 11 - 2(4x - 2). 3) 7 - 3(5x - 3) = -11x. 4) 15 - 4(7 - x) = 11. 5) 6 - 5(4x - 1) = 3. 6) 6 - 8 - 5(7x - 1). 7) 5(x - 4,4) = 9x. 8) 1 - 4(5 + 2x) = 13. 9) 5(x - 2,4) = 13x. 10) 16 + 6x = 5(1 - 2x) - 13.

Решение уравнений (Вариант 1):

1. 1)\[ -7x = 13 - 2(8x - 7) \]\[ -7x = 13 - 16x + 14 \]\[ -7x + 16x = 13 + 14 \]\[ 9x = 27 \]\[ x = 3 \]
2. 2)\[ -5x = 11 - 2(4x - 2) \]\[ -5x = 11 - 8x + 4 \]\[ -5x + 8x = 11 + 4 \]\[ 3x = 15 \]\[ x = 5 \]
3. 3)\[ 7 - 3(5x - 3) = -11x \]\[ 7 - 15x + 9 = -11x \]\[ 16 = 15x - 11x \]\[ 16 = 4x \]\[ x = 4 \]
4. 4)\[ 15 - 4(7 - x) = 11 \]\[ 15 - 28 + 4x = 11 \]\[ -13 + 4x = 11 \]\[ 4x = 11 + 13 \]\[ 4x = 24 \]\[ x = 6 \]
5. 5)\[ 6 - 5(4x - 1) = 3 \]\[ 6 - 20x + 5 = 3 \]\[ 11 - 20x = 3 \]\[ 11 - 3 = 20x \]\[ 8 = 20x \]\[ x = \frac{8}{20} = \frac{2}{5} = 0.4 \]
6. 6)\[ 6 - 8 - 5(7x - 1) = 0 \]\[ -2 - 35x + 5 = 0 \]\[ 3 - 35x = 0 \]\[ 3 = 35x \]\[ x = \frac{3}{35} \]
7. 7)\[ 5(x - 4.4) = 9x \]\[ 5x - 22 = 9x \]\[ -22 = 9x - 5x \]\[ -22 = 4x \]\[ x = \frac{-22}{4} = -5.5 \]
8. 8)\[ 1 - 4(5 + 2x) = 13 \]\[ 1 - 20 - 8x = 13 \]\[ -19 - 8x = 13 \]\[ -8x = 13 + 19 \]\[ -8x = 32 \]\[ x = -4 \]
9. 9)\[ 5(x - 2.4) = 13x \]\[ 5x - 12 = 13x \]\[ -12 = 13x - 5x \]\[ -12 = 8x \]\[ x = \frac{-12}{8} = -1.5 \]
10. 10)\[ 16 + 6x = 5(1 - 2x) - 13 \]\[ 16 + 6x = 5 - 10x - 13 \]\[ 16 + 6x = -8 - 10x \]\[ 6x + 10x = -8 - 16 \]\[ 16x = -24 \]\[ x = \frac{-24}{16} = -1.5 \]