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受欢迎的代数 >

solvefor x,(b-cx)/a+(a-cx)/b+2=0

解答

求解

x, \frac{b - c x}{a} + \frac{a - c x}{b} + 2 = 0

解答

x = \frac{b + a}{c}; ba \neq = 0, b \neq = - a

求解步骤

\frac{b - c x}{a} + \frac{a - c x}{b} + 2 = 0

乘以最小公倍数

b (b - c x) + a (a - c x) + 2 ba = 0; ba \neq = 0

乘开

b (b - c x) : b^{2} - b c x

b^{2} - b c x + a (a - c x) + 2 ba = 0

乘开

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

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

将

b^{2}

到右边

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

将

a^{2}

到右边

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

将

2 ba

到右边

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

分解

- b c x - c a x : - c x (b + a)

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

两边除以

- c (b + a); ba \neq = 0, b \neq = - a

x = \frac{b + a}{c}; ba \neq = 0, b \neq = - a

作图

流行的例子

solvefor x,3x+y=21

so l v e f or x, 3 x + y = 21

solvefor x,3x+y=-8

so l v e f or x, 3 x + y = - 8

3x-4=(2x-3)+(2x+1)

3 x - 4 = (2 x - 3) + (2 x + 1)

-24-1/8 p= 3/8 p

- 24 - \frac{1}{8} p = \frac{3}{8} p

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