ГДЗ Алгебра 7 клас Істер - Розв'язання вправи № 138

$$1) 11(3x - 1) + 2(6x + 3) = 220 \Rightarrow x = 5$$

$$2) 10(8x - 3) - 7(3x + 1) = 140 \Rightarrow x = 3$$

$$3) 3x + 12x = 14x - 5 \Rightarrow x = -5$$

$$4) 3(1 + 2x) - 2(3x + 2) = 5x + 4 \Rightarrow x = -1$$

$$5) 4(2x - 3) - 5(1 - x) + (5x + 1) = 2(9x + 3) \Rightarrow x = -11$$

$$6) 3(3x - 5) - 4(2 - x) + (2x + 5) = 3(5x - 6) \Rightarrow 0x = 0 \Rightarrow x - \text{будь-яке число}$$

$$1) \frac{3x - 1}{2} + \frac{6x + 3}{11} = 10$$

$$11(3x - 1) + 2(6x + 3) = 220$$

$$33x - 11 + 12x + 6 = 220$$

$$45x = 225$$

$$x = 5$$

$$2) \frac{8x - 3}{7} - \frac{3x + 1}{10} = 2$$

$$10(8x - 3) - 7(3x + 1) = 140$$

$$80x - 30 - 21x - 7 = 140$$

$$59x = 177$$

$$x = 3$$

$$3) \frac{x}{10} + \frac{2x}{5} = \frac{7x}{15} - \frac{1}{6}$$

$$3x + 12x = 14x - 5$$

$$15x - 14x = -5$$

$$x = -5$$

$$4) \frac{1 + 2x}{2} - \frac{3x + 2}{3} = \frac{5x + 4}{6}$$

$$3(1 + 2x) - 2(3x + 2) = 5x + 4$$

$$3 + 6x - 6x - 4 = 5x + 4$$

$$-1 = 5x + 4$$

$$5x = -5$$

$$x = -1$$

$$5) \frac{2x - 3}{5} - \frac{1 - x}{4} + \frac{5x + 1}{20} = \frac{9x + 3}{10}$$

$$4(2x - 3) - 5(1 - x) + (5x + 1) = 2(9x + 3)$$

$$8x - 12 - 5 + 5x + 5x + 1 = 18x + 6$$

$$18x - 16 = 18x + 6$$

$$0x = 22$$

$$6) \frac{3x - 5}{4} - \frac{2 - x}{3} + \frac{2x + 5}{12} = \frac{5x - 6}{4}$$

$$3(3x - 5) - 4(2 - x) + (2x + 5) = 3(5x - 6)$$

$$9x - 15 - 8 + 4x + 2x + 5 = 15x - 18$$

$$15x - 18 = 15x - 18$$

$$0x = 0$$