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受欢迎的代数 >

(x-3a)/(a^2)-(2a-x)/(ab)=-1/a

解答

\frac{x - 3 a}{a ^{2}} - \frac{2 a - x}{ab} = - \frac{1}{a}

解答

x = 2 a; a^{2} b \neq = 0, a \neq = - b

求解步骤

\frac{x - 3 a}{a ^{2}} - \frac{2 a - x}{ab} = - \frac{1}{a}

乘以最小公倍数

b (x - 3 a) - a (- x + 2 a) = - ab; a^{2} b \neq = 0

乘开

b (x - 3 a) : b x - 3 ab

b x - 3 ab - a (- x + 2 a) = - ab

乘开

- a (- x + 2 a) : a x - 2 a^{2}

b x - 3 ab + a x - 2 a^{2} = - ab; a^{2} b \neq = 0

将

3 ab

到右边

b x + a x - 2 a^{2} = 2 ab; a^{2} b \neq = 0

将

2 a^{2}

到右边

b x + a x = 2 ab + 2 a^{2}; a^{2} b \neq = 0

分解

b x + a x : x (b + a)

x (b + a) = 2 ab + 2 a^{2}; a^{2} b \neq = 0

两边除以

b + a; a^{2} b \neq = 0, a \neq = - b

x = 2 a; a^{2} b \neq = 0, a \neq = - b

作图

流行的例子

solvefor x,-3x+4y=12

so l v e f or x, - 3 x + 4 y = 12

6 c - 55 = 455

solvefor x,2x-2y=5

so l v e f or x, 2 x - 2 y = 5

\frac{1}{3} x + 4 = 10

solvefor x,4x-6y=24

so l v e f or x, 4 x - 6 y = 24