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受欢迎的代数 >

4(2x-1)=m(x+2)+n(x-2)

解答

4 (2 x - 1) = m (x + 2) + n (x - 2)

解答

x = \frac{2 m - 2 n + 4}{8 - m - n}; m \neq = - n + 8

求解步骤

4 (2 x - 1) = m (x + 2) + n (x - 2)

乘开

m (x + 2) : m x + 2 m

8 x - 4 = m x + 2 m + n (x - 2)

乘开

n (x - 2) : n x - 2 n

8 x - 4 = m x + 2 m + n x - 2 n

展开

4 (2 x - 1) : 8 x - 4

8 x - 4 = m x + 2 m + n x - 2 n

将

4

到右边

8 x = m x + 2 m + n x - 2 n + 4

两边减去

m x + n x

8 x - (m x + n x) = m x + 2 m + n x - 2 n + 4 - (m x + n x)

化简

8 x - m x - n x = 2 m - 2 n + 4

分解

8 x - m x - n x : x (8 - m - n)

x (8 - m - n) = 2 m - 2 n + 4

两边除以

8 - m - n; m \neq = - n + 8

x = \frac{2 m - 2 n + 4}{8 - m - n}; m \neq = - n + 8

作图

流行的例子

solvefor x,(x-1)/3+4=x-(y-3)/6

so l v e f or x, \frac{x - 1}{3} + 4 = x - \frac{y - 3}{6}

\frac{24}{45} = \frac{x}{60}

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

\frac{- 3 x}{7} = 6

2 x - 8 x + 1 = 19