5.123 Решите уравнение: a) -36x + 660 = -3x; 6) 92 = -350 + 4z; в) -8х + 83 = 3x - 49; г) 43 - 72 = 27 - 9z; д) 41 + 23у = 341 + е) 21x - 34 = 12x -

Решим уравнения:

1. a) $$-36x + 660 = -3x$$ $$\Leftrightarrow$$ $$-36x + 3x = -660$$ $$\Leftrightarrow$$ $$-33x = -660$$ $$\Leftrightarrow$$ $$x = \frac{-660}{-33}$$ $$\Leftrightarrow$$ $$x = 20$$
2. б) $$9z = -350 + 4z$$ $$\Leftrightarrow$$ $$9z - 4z = -350$$ $$\Leftrightarrow$$ $$5z = -350$$ $$\Leftrightarrow$$ $$z = \frac{-350}{5}$$ $$\Leftrightarrow$$ $$z = -70$$
3. в) $$-8x + 83 = 3x - 49$$ $$\Leftrightarrow$$ $$-8x - 3x = -49 - 83$$ $$\Leftrightarrow$$ $$-11x = -132$$ $$\Leftrightarrow$$ $$x = \frac{-132}{-11}$$ $$\Leftrightarrow$$ $$x = 12$$
4. г) $$43 - 7z = 27 - 9z$$ $$\Leftrightarrow$$ $$-7z + 9z = 27 - 43$$ $$\Leftrightarrow$$ $$2z = -16$$ $$\Leftrightarrow$$ $$z = \frac{-16}{2}$$ $$\Leftrightarrow$$ $$z = -8$$
5. д) $$41 + 23y = 341$$ $$\Leftrightarrow$$ $$23y = 341 - 41$$ $$\Leftrightarrow$$ $$23y = 300$$ $$\Leftrightarrow$$ $$y = \frac{300}{23}$$
6. е) $$21x - 34 = 12x$$ $$\Leftrightarrow$$ $$21x - 12x = 34$$ $$\Leftrightarrow$$ $$9x = 34$$ $$\Leftrightarrow$$ $$x = \frac{34}{9}$$

Ответ: a) $$x = 20$$, б) $$z = -70$$, в) $$x = 12$$, г) $$z = -8$$, д) $$y = \frac{300}{23}$$, е) $$x = \frac{34}{9}$$