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人気のある代数 >

4n-2m-3r=1,m+3n+5r=-4,3m-5n+r=0

解

4 n - 2 m - 3 r = 1, m + 3 n + 5 r = - 4, 3 m - 5 n + r = 0

解

r = - \frac{11}{21}, n = - \frac{1}{3}, m = - \frac{8}{21}

解答ステップ

4 n - 2 m - 3 r = 1 m + 3 n + 5 r = - 4 3 m - 5 n + r = 0

以下のために

n

を分離:

4 n - 2 m - 3 r = 1 : n = \frac{1 + 2 m + 3 r}{4}

代用

n = \frac{1 + 2 m + 3 r}{4}

[m + 3 \cdot \frac{1 + 2 m + 3 r}{4} + 5 r = - 4 3 m - 5 \cdot \frac{1 + 2 m + 3 r}{4} + r = 0]

簡素化

[\frac{29 r + 10 m + 3}{4} = - 4 \frac{- 11 r + 2 m - 5}{4} = 0]

以下のために

r

を分離:

\frac{29 r + 10 m + 3}{4} = - 4 : r = \frac{- 10 m - 19}{29}

代用

r = \frac{- 10 m - 19}{29}

[\frac{- 11 \cdot \frac{- 10 m - 19}{29} + 2 m - 5}{4} = 0]

簡素化

[\frac{2 ( 21 m + 8 )}{29} = 0]

以下のために

m

を分離:

\frac{2 ( 21 m + 8 )}{29} = 0 : m = - \frac{8}{21}

以下のため:

r = \frac{- 10 m - 19}{29}

代用

m = - \frac{8}{21}

r = \frac{- 10 ( - \frac{8}{21} ) - 19}{29}

\frac{- 10 ( - \frac{8}{21} ) - 19}{29} = - \frac{11}{21}

r = - \frac{11}{21}

以下のため:

n = \frac{1 + 2 m + 3 r}{4}

代用

r = - \frac{11}{21}, m = - \frac{8}{21}

n = \frac{1 + 2 ( - \frac{8}{21} ) + 3 ( - \frac{11}{21} )}{4}

\frac{1 + 2 ( - \frac{8}{21} ) + 3 ( - \frac{11}{21} )}{4} = - \frac{1}{3}

n = - \frac{1}{3}

equation系の解:

r = - \frac{11}{21}, n = - \frac{1}{3}, m = - \frac{8}{21}

人気の例

x + y = 4, 1 x = 5 + y

5x+y=-19,7x-y=-16

5 x + y = - 19, 7 x - y = - 16

3p-5q=-3,4p-5p=1

3 p - 5 q = - 3, 4 p - 5 p = 1

3 x + y = 2, 5 x - y = - 9

3a+2b=54,5a+4b=92

3 a + 2 b = 54, 5 a + 4 b = 92