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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