395. Выполните приведение подобных слагаемых: a) 10a + b – 10b – a; б) -8у + 7x + 6y + 7x; в) -8х + 5,2a + 3x + 5а; г) 5а + 7а – 9,2m + 15m; д) 2/7 x – 4/9 x + 5/14 y; e) -6a + 5a – x + 4; ж) 23х – 23 + 40 + 4x; з) -а + x + 1,1а - 1,3x; и) -12р + 3k + 3,2p - 2,3k; к) 0,5а - 2/3 b – 5/3 a – 1/3 b.

Решение:

• а) 10a + b – 10b – a = (10a - a) + (b - 10b) = 9a - 9b
• б) -8у + 7x + 6y + 7x = (7x + 7x) + (-8y + 6y) = 14x - 2y
• в) -8х + 5,2a + 3x + 5а = (-8x + 3x) + (5,2a + 5a) = -5x + 10,2a
• г) 5а + 7а – 9,2m + 15m = (5a + 7a) + (-9,2m + 15m) = 12a + 5,8m
• д) \(\frac{2}{7}x - \frac{4}{9}x + \frac{5}{14}y = (\frac{2}{7}x - \frac{4}{9}x) + \frac{5}{14}y = (\frac{18}{63}x - \frac{28}{63}x) + \frac{5}{14}y = -\frac{10}{63}x + \frac{5}{14}y\) = -\( \frac{10}{63} \)x + \(\frac{5}{14}\)y
• e) -6a + 5a – x + 4 = (-6a + 5a) - x + 4 = -a - x + 4
• ж) 23х – 23 + 40 + 4x = (23x + 4x) + (-23 + 40) = 27x + 17
• з) -а + x + 1,1а - 1,3x = (-a + 1,1a) + (x - 1,3x) = 0,1a - 0,3x
• и) -12р + 3k + 3,2p - 2,3k = (-12p + 3,2p) + (3k - 2,3k) = -8,8p + 0,7k
• к) 0,5а - \(\frac{2}{3}\) b – \(\frac{5}{3}\) a – \(\frac{1}{3}\) b = (0,5a - \(\frac{5}{3}\) a) + (-\(\frac{2}{3}\) b - \(\frac{1}{3}\) b) = (\(\frac{1,5}{3}\) a - \(\frac{5}{3}\) a) + (-\(\frac{2}{3}\) b - \(\frac{1}{3}\) b) = -\(\frac{3,5}{3}\) a - \(\frac{3}{3}\) b = -\( \frac{7}{6} \)a - b