Решение уравнений:
200. Решите уравнение:
1) (4x = 24 + x)
(4x - x = 24)
(3x = 24)
(x = \frac{24}{3})
(x = 8)
2) (8x - 8 = 20 - 6x)
(8x + 6x = 20 + 8)
(14x = 28)
(x = \frac{28}{14})
(x = 2)
3) (9 - 4x = 3x - 40)
(-4x - 3x = -40 - 9)
(-7x = -49)
(x = \frac{-49}{-7})
(x = 7)
4) (0,6x - 5,4 = -0,8x + 5,8)
(0,6x + 0,8x = 5,8 + 5,4)
(1,4x = 11,2)
(x = \frac{11,2}{1,4})
(x = 8)
5) (4,7 - 1,1x = 0,5x - 3,3)
(-1,1x - 0,5x = -3,3 - 4,7)
(-1,6x = -8)
(x = \frac{-8}{-1,6})
(x = 5)
6) (\frac{5}{6}x + 16 = \frac{4}{9}x + 9)
(\frac{5}{6}x - \frac{4}{9}x = 9 - 16)
(\frac{15}{18}x - \frac{8}{18}x = -7)
(\frac{7}{18}x = -7)
(x = -7 \cdot \frac{18}{7})
(x = -18)
201. Найдите корень уравнения:
1) (4(x - 3) = x + 6)
(4x - 12 = x + 6)
(4x - x = 6 + 12)
(3x = 18)
(x = \frac{18}{3})
(x = 6)
2) (4 - 6(x + 2) = 3 - 5x)
(4 - 6x - 12 = 3 - 5x)
(-6x + 5x = 3 - 4 + 12)
(-x = 11)
(x = -11)
3) ((5x + 8) - (8x + 14) = 9)
(5x + 8 - 8x - 14 = 9)
(-3x - 6 = 9)
(-3x = 9 + 6)
(-3x = 15)
(x = \frac{15}{-3})
(x = -5)
4) (2,7 + 3y = 9(y - 2,1))
(2,7 + 3y = 9y - 18,9)
(3y - 9y = -18,9 - 2,7)
(-6y = -21,6)
(y = \frac{-21,6}{-6})
(y = 3,6)
5) (0,3(8 - 3y) = 3,2 - 0,8(y - 7))
(2,4 - 0,9y = 3,2 - 0,8y + 5,6)
(-0,9y + 0,8y = 3,2 + 5,6 - 2,4)
(-0,1y = 6,4)
(y = \frac{6,4}{-0,1})
(y = -64)
6) (5(\frac{1}{5}x - 1) = 3x + 3\frac{1}{3})
(x - 5 = 3x + \frac{10}{3})
(x - 3x = \frac{10}{3} + 5)
(-2x = \frac{10}{3} + \frac{15}{3})
(-2x = \frac{25}{3})
(x = \frac{25}{3} \cdot \frac{-1}{2})
(x = -\frac{25}{6})
(x = -4\frac{1}{6})