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

解答

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

x = 1

求解步骤

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

\frac{1}{2} (x - \frac{2 x - 1}{3}) = \frac{x - \frac{2 x - 1}{3}}{2}

\frac{5 x}{3} - \frac{x - 2}{4} = \frac{9}{4} - \frac{x - \frac{2 x - 1}{3}}{2}

乘以最小公倍数

20 x - 3 (x - 2) = 27 - 2 (3 x - (2 x - 1))

乘开

- 3 (x - 2) : - 3 x + 6

20 x - 3 x + 6 = 27 - 2 (3 x - (2 x - 1))

2 \cdot x = 3

\frac{1}{2} = \frac{x}{8}

2 g - 3 = - 19

so l v e f or x, 5 x + 4 y = - 7

\frac{( \frac{1}{2} x - 7 )}{2} = - 3 x + 4