Найдите корень уравнения 5x = -60

145. Найдите корень уравнения: а) $5x = -60$ $$x = -60 \div 5$$ $$x = -12$$ б) $-10x = 8$ $$x = 8 \div (-10)$$ $$x = -0,8$$ в) $7x = 9$ $$x = 9 \div 7$$ $$x = \frac{9}{7}$$ г) $6x = -50$ $$x = -50 \div 6$$ $$x = -\frac{50}{6} = -\frac{25}{3}$$ д) $-9x = -3$ $$x = -3 \div (-9)$$ $$x = \frac{3}{9} = \frac{1}{3}$$ е) $0,5x = 1,2$ $$x = 1,2 \div 0,5$$ $$x = 2,4$$ ж) $0,7x = 0$ $$x = 0 \div 0,7$$ $$x = 0$$ з) $-1,5x = 6$ $$x = 6 \div (-1,5)$$ $$x = -4$$ и) $42x = 13$ $$x = 13 \div 42$$ $$x = \frac{13}{42}$$ 146. Решите линейное уравнение: а) $\frac{1}{3}x = 12$ $$x = 12 \div \frac{1}{3}$$ $$x = 12 \times 3$$ $$x = 36$$ б) $\frac{2}{3}y = 9$ $$y = 9 \div \frac{2}{3}$$ $$y = 9 \times \frac{3}{2}$$ $$y = \frac{27}{2} = 13,5$$ в) $-4x = \frac{1}{7}$ $$x = \frac{1}{7} \div (-4)$$ $$x = \frac{1}{7} \times (-\frac{1}{4})$$ $$x = -\frac{1}{28}$$ г) $5y = -\frac{5}{8}$ $$y = -\frac{5}{8} \div 5$$ $$y = -\frac{5}{8} \times \frac{1}{5}$$ $$y = -\frac{1}{8}$$ д) $\frac{1}{6}y = \frac{1}{3}$ $$y = \frac{1}{3} \div \frac{1}{6}$$ $$y = \frac{1}{3} \times 6$$ $$y = 2$$ е) $\frac{2}{7}x = 0$ $$x = 0 \div \frac{2}{7}$$ $$x = 0$$ ж) $\frac{11}{7}x = 4\frac{5}{7}$ $$\frac{11}{7}x = \frac{4 \times 7 + 5}{7}$$ $$\frac{11}{7}x = \frac{33}{7}$$ $$x = \frac{33}{7} \div \frac{11}{7}$$ $$x = \frac{33}{7} \times \frac{7}{11}$$ $$x = 3$$ з) $-\frac{17}{13}y = -2\frac{8}{13}$ $$-\frac{17}{13}y = -\frac{2 \times 13 + 8}{13}$$ $$-\frac{17}{13}y = -\frac{34}{13}$$ $$y = -\frac{34}{13} \div (-\frac{17}{13})$$ $$y = -\frac{34}{13} \times (-\frac{13}{17})$$ $$y = 2$$ 147. Найдите корень уравнения: а) $5x - 150 = 0$ $$5x = 150$$ $$x = 150 \div 5$$ $$x = 30$$ б) $48 - 3x = 0$ $$-3x = -48$$ $$x = -48 \div (-3)$$ $$x = 16$$ в) $-1,5x - 9 = 0$ $$-1,5x = 9$$ $$x = 9 \div (-1,5)$$ $$x = -6$$ г) $12x - 1 = 35$ $$12x = 35 + 1$$ $$12x = 36$$ $$x = 36 \div 12$$ $$x = 3$$ д) $-x + 4 = 47$ $$-x = 47 - 4$$ $$-x = 43$$ $$x = -43$$ е) $1,3x = 54 + x$ $$1,3x - x = 54$$ $$0,3x = 54$$ $$x = 54 \div 0,3$$ $$x = 180$$ ж) $7 - 6 = 0,2x$ $$1 = 0,2x$$ $$x = 1 \div 0,2$$ $$x = 5$$ з) $0,15x + 6 = 51$ $$0,15x = 51 - 6$$ $$0,15x = 45$$ $$x = 45 \div 0,15$$ $$x = 300$$ и) $-0,7x + 2 = 65$ $$-0,7x = 65 - 2$$ $$-0,7x = 63$$ $$x = 63 \div (-0,7)$$ $$x = -90$$ 148. Решите уравнение: а) $2x + 9 = 13 - x$ $$2x + x = 13 - 9$$ $$3x = 4$$ $$x = \frac{4}{3}$$ б) $14 - y = 19 - 11y$ $$-y + 11y = 19 - 14$$ $$10y = 5$$ $$y = 5 \div 10$$ $$y = 0,5$$ в) $0,5a + 11 = 4 - 3a$ $$0,5a + 3a = 4 - 11$$ $$3,5a = -7$$ $$a = -7 \div 3,5$$ $$a = -2$$ г) $1,2n + 1 = 1 - n$ $$1,2n + n = 1 - 1$$ $$2,2n = 0$$ $$n = 0 \div 2,2$$ $$n = 0$$ д) $1,7 - 0,3m = 2 + 1,7m$ $$-0,3m - 1,7m = 2 - 1,7$$ $$-2m = 0,3$$ $$m = 0,3 \div (-2)$$ $$m = -0,15$$ е) $0,8x + 14 = 2 - 1,6x$ $$0,8x + 1,6x = 2 - 14$$ $$2,4x = -12$$ $$x = -12 \div 2,4$$ $$x = -5$$ ж) $15 - p = \frac{1}{3}p - 1$ $$15 + 1 = \frac{1}{3}p + p$$ $$16 = \frac{4}{3}p$$ $$p = 16 \div \frac{4}{3}$$ $$p = 16 \times \frac{3}{4}$$ $$p = 12$$ з) $1\frac{1}{3}x + 4 = \frac{1}{3}x + 1$ $$\frac{4}{3}x - \frac{1}{3}x = 1 - 4$$ $$\frac{3}{3}x = -3$$ $$1x = -3$$ $$x = -3$$ и) $z - \frac{1}{2}z = 0$ $$\frac{1}{2}z = 0$$ $$z = 0 \div \frac{1}{2}$$ $$z = 0$$ к) $x - 4x = 0$ $$-3x = 0$$ $$x = 0 \div (-3)$$ $$x = 0$$ л) $x = -x$ $$x + x = 0$$ $$2x = 0$$ $$x = 0 \div 2$$ $$x = 0$$ м) $5y = 6y$ $$5y - 6y = 0$$ $$-y = 0$$ $$y = 0$$