Question

Помогите пожалуйста ​

Answer 1

Ответ:

1) x=3 ; 2)x=$-2\frac{2}{3}$ ; 3)x=$-\frac{3}{4}$; 4)x=$\frac{5}{6}$; 5)x=$7\frac{1}{2}$ ; 6)x=13 ; 7)x=$-1\frac{11}{40}$ ; 8)x=-12 ; 9)x=12,5 ; 10)x=18 ;

Пошаговое объяснение:

1)

$\frac{2*(4x-1)}{3} = 2x+\frac{4}{3}$

$\frac{8x-2}{3} -2x = \frac{4}{3}$

$\frac{8x}{3}-2x = \frac{4}{3} + \frac{2}{3} = \frac{6}{3} = 2$ умножаем на 3

$\frac{8x*3}{3} -2*3x  = 2*3$

$8x -6x = 6$

$2x = 6$

$x = 3$

2)

$\frac{5*(3-2x)}{6} = x-\frac{3}{2}$

$\frac{15-10x)}{6} = x-\frac{3}{2}$

$\frac{15}{6} - \frac{10x}{6}= x-\frac{3}{2}$

$\frac{10x}{6} + x = \frac{3}{2} - \frac{15}{6} = \frac{9-15}{6} = \frac{-6}{6} = -1$ умножаем на 6

$10x + 6x = -6$

$16x = -6$

$x= -\frac{16}{6} = - 2\frac{2}{3}$

3)

$\frac{11*(x+1)}{2} = \frac{1*(2-x)}{2}$

$\frac{11x+11}{2} = \frac{2-x}{2}$

$\frac{11x}{2} + \frac{11}{2}= \frac{2}{2} - \frac{x}{2}$ умножаем на 2

$11x + 11= 2 - x$

$11x + x = 2 - 11 = -9$

$12x = -9$

$x = - \frac{9}{12} = -\frac{3}{4}$

4)

$\frac{1*(4-\frac{7x}{2})}{2} = \frac{5x}{4} - \frac{1}{2}$

$\frac{4}{2} - \frac{7x}{4} = \frac{5x}{4} - \frac{1}{2}$ умножаем на 4

$8 - 7x = 5x - 2$

$12x = 10$

$x = \frac{10}{12} = \frac{5}{6}$

5)

$12 - 8x + 24 = 6 - 4x$

$4x = 30$

$x = \frac{30}{4} = \frac{15}{2} = 7\frac{1}{2}$

6)

$1,5x - 2,1 = 0,6x + 9,6$

$0,9x = 11,7$

$x = \frac{117*10}{10*9} = 13$

7)

$5 - (\frac{6*3x}{2} + \frac{6}{3}) = \frac{7x}{3} - \frac{11}{2}$

$5 - \frac{18x}{2} - 2 = \frac{7x}{3} - \frac{11}{2}$

$3 - 9x = \frac{7x}{3} - \frac{11}{2}$

$9x - \frac{7x}{3} = -3 - \frac{11}{2}$

$\frac{27x - 7x}{3} = \frac{-6-11}{2}$

$\frac{20x}{3} = \frac{-17}{2}$ умножим на 6

$20x*2 = -17*3$

$40x = -51$

$x = -\frac{51}{40} = -1\frac{11}{40}$

8)

$\frac{25x}{72} - \frac{9}{11} -\frac{3x}{8} +\frac{5}{9} = \frac{7}{99}$

$\frac{25x-3x*9}{72} = \frac{7}{99} + \frac{9}{11} - \frac{5}{9} = \frac{7+9*9-5*11}{99} = \frac{33}{99} = \frac{1}{3}$

$\frac{-2x}{72} = \frac{1}{3}$

$-\frac{x}{36} = \frac{1}{3}$

$x = -\frac{36}{3} = -12$

9)

$2x + 1,5 = 1,4x + 9$

$0,6x = 7,5$

$x = \frac{75*10}{10*6} = 12,5$

10)

$1,46 - \frac{x}{5} - 0,86 + \frac{2x}{9} = 1$

$0,6 + \frac{10x-9x}{45} = 1$

$\frac{x}{45} = 1 - 0,6 = 0,4$ умножаем на 45

$x = 0,4*45 = 18$