Вопрос:

144. Чему равен корень уравнения: 1) 3x = 28 - x; 2) 5x + 12 = 8x + 30; 3) 33 + 8x = -5x + 72; 4) 6x - 19 = -x - 10; 5) 0,7 - 0,2x = 0,3x – 1,8; 6) 0,1x + 9 = 0,2x - 4? 145. Решите уравнение: 1) -6(x + 2) = 4x - 17; 2) (18x - 19) - (4-7x) = -73; 3) 10x + 3(7- 2x) = 13 + 2x; 4) -3(4-5y) + 2(3 - 6y) = -3,9 146. Найдите корень уравнения: 1) 9(x - 1) = x + 15; 2) (11x + 14) - (5x - 8) = 25; 3) 12 - 4(x - 3) = 39 - 9x; 4) 2(3x + 5) -3(4x - 1) = 11,8. 147. Решите уравнение: 1) 0,8(4x + 5) = −3,2; 2) -2,4(7 - 9y) = -48.

Ответ:

Решение: 144. Чему равен корень уравнения: 1) (3x = 28 - x) (3x + x = 28) (4x = 28) (x = \frac{28}{4}) (x = 7) 2) (5x + 12 = 8x + 30) (5x - 8x = 30 - 12) (-3x = 18) (x = \frac{18}{-3}) (x = -6) 3) (33 + 8x = -5x + 72) (8x + 5x = 72 - 33) (13x = 39) (x = \frac{39}{13}) (x = 3) 4) (6x - 19 = -x - 10) (6x + x = -10 + 19) (7x = 9) (x = \frac{9}{7}) 5) (0,7 - 0,2x = 0,3x - 1,8) (-0,2x - 0,3x = -1,8 - 0,7) (-0,5x = -2,5) (x = \frac{-2,5}{-0,5}) (x = 5) 6) (0,1x + 9 = 0,2x - 4) (0,1x - 0,2x = -4 - 9) (-0,1x = -13) (x = \frac{-13}{-0,1}) (x = 130) 145. Решите уравнение: 1) (-6(x + 2) = 4x - 17) (-6x - 12 = 4x - 17) (-6x - 4x = -17 + 12) (-10x = -5) (x = \frac{-5}{-10}) (x = 0,5) 2) ((18x - 19) - (4 - 7x) = -73) (18x - 19 - 4 + 7x = -73) (25x - 23 = -73) (25x = -73 + 23) (25x = -50) (x = \frac{-50}{25}) (x = -2) 3) (10x + 3(7 - 2x) = 13 + 2x) (10x + 21 - 6x = 13 + 2x) (4x + 21 = 13 + 2x) (4x - 2x = 13 - 21) (2x = -8) (x = \frac{-8}{2}) (x = -4) 4) (-3(4 - 5y) + 2(3 - 6y) = -3,9) (-12 + 15y + 6 - 12y = -3,9) (3y - 6 = -3,9) (3y = -3,9 + 6) (3y = 2,1) (y = \frac{2,1}{3}) (y = 0,7) 146. Найдите корень уравнения: 1) (9(x - 1) = x + 15) (9x - 9 = x + 15) (9x - x = 15 + 9) (8x = 24) (x = \frac{24}{8}) (x = 3) 2) ((11x + 14) - (5x - 8) = 25) (11x + 14 - 5x + 8 = 25) (6x + 22 = 25) (6x = 25 - 22) (6x = 3) (x = \frac{3}{6}) (x = 0,5) 3) (12 - 4(x - 3) = 39 - 9x) (12 - 4x + 12 = 39 - 9x) (-4x + 24 = 39 - 9x) (-4x + 9x = 39 - 24) (5x = 15) (x = \frac{15}{5}) (x = 3) 4) (2(3x + 5) - 3(4x - 1) = 11,8) (6x + 10 - 12x + 3 = 11,8) (-6x + 13 = 11,8) (-6x = 11,8 - 13) (-6x = -1,2) (x = \frac{-1,2}{-6}) (x = 0,2) 147. Решите уравнение: 1) (0,8(4x + 5) = -3,2) (3,2x + 4 = -3,2) (3,2x = -3,2 - 4) (3,2x = -7,2) (x = \frac{-7,2}{3,2}) (x = -2,25) 2) (-2,4(7 - 9y) = -48) (-16,8 + 21,6y = -48) (21,6y = -48 + 16,8) (21,6y = -31,2) (y = \frac{-31,2}{21,6}) (y = -\frac{312}{216}) (y = -\frac{13}{9})
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