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受欢迎的代数 >

6x+1/3-11x-2/9-1/4 (5x-2)= 5/6 (6x+1)

解答

6 x + \frac{1}{3} - 11 x - \frac{2}{9} - \frac{1}{4} (5 x - 2) = \frac{5}{6} (6 x + 1)

解答

x = - \frac{8}{405}

+1

十进制

x = - 0.01975 \dots

求解步骤

6 x + \frac{1}{3} - 11 x - \frac{2}{9} - \frac{1}{4} (5 x - 2) = \frac{5}{6} (6 x + 1)

化简

6 x + \frac{1}{3} - 11 x - \frac{2}{9} - \frac{1}{4} (5 x - 2) : - 5 x + \frac{1}{9} - \frac{1}{4} (5 x - 2)

- 5 x + \frac{1}{9} - \frac{1}{4} (5 x - 2) = \frac{5}{6} (6 x + 1)

展开

- 5 x + \frac{1}{9} - \frac{1}{4} (5 x - 2) : - \frac{25 x}{4} + \frac{1}{9} + \frac{1}{2}

展开

\frac{5}{6} (6 x + 1) : 5 x + \frac{5}{6}

- \frac{25 x}{4} + \frac{1}{9} + \frac{1}{2} = 5 x + \frac{5}{6}

将

\frac{1}{9}

到右边

- \frac{25 x}{4} + \frac{1}{2} = 5 x + \frac{13}{18}

将

\frac{1}{2}

到右边

- \frac{25 x}{4} = 5 x + \frac{2}{9}

在两边乘以

4

- 25 x = 20 x + \frac{8}{9}

将

20 x

para o lado esquerdo

- 45 x = \frac{8}{9}

两边除以

- 45

x = - \frac{8}{405}

作图

流行的例子

m-m*((-1)/2)=(3-m-2)/3

m - m \cdot (\frac{- 1}{2}) = \frac{3 - m - 2}{3}

solvefor a,8a-5b=1

so l v e f or a, 8 a - 5 b = 1

-22/15 x+1/3 =-2/3+1/5

- \frac{22}{15} x + \frac{1}{3} = - \frac{2}{3} + \frac{1}{5}

solvefor x,9x+3+y/3-3y=9

so l v e f or x, 9 x + 3 + \frac{y}{3} - 3 y = 9

solvefor x,4x-y=-1/2

so l v e f or x, 4 x - y = - \frac{1}{2}