149. Решите уравнение: a) 3x-8 = x + 6; б) 7а-10=2-4a; в) $$ \frac{1}{6}y - \frac{1}{2} = 3 - \frac{1}{2}y $$; г) 2,6 - 0,2b = 4,1 – 0,5b;

a) 3x - 8 = x + 6 $$3x - x = 6 + 8$$ $$2x = 14$$ $$x = \frac{14}{2}$$ $$x = 7$$   б) 7a - 10 = 2 - 4a $$7a + 4a = 2 + 10$$ $$11a = 12$$ $$a = \frac{12}{11}$$   в) $$\frac{1}{6}y - \frac{1}{2} = 3 - \frac{1}{2}y$$ $$\frac{1}{6}y + \frac{1}{2}y = 3 + \frac{1}{2}$$ $$\frac{1}{6}y + \frac{3}{6}y = \frac{6}{2} + \frac{1}{2}$$ $$\frac{4}{6}y = \frac{7}{2}$$ $$y = \frac{7}{2} \cdot \frac{6}{4}$$ $$y = \frac{7 \cdot 3}{4}$$ $$y = \frac{21}{4}$$ $$y = 5,25$$   г) 2,6 - 0,2b = 4,1 - 0,5b $$-0,2b + 0,5b = 4,1 - 2,6$$ $$0,3b = 1,5$$ $$b = \frac{1,5}{0,3}$$ $$b = 5$$ <p><strong>Ответ: а) x = 7; б) $$ a = \frac{12}{11} $$; в) y = 5,25; г) b = 5.</strong></p>