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受欢迎的代数 >

67x+108y=-41,7108x+67y=-458

解答

67 x + 108 y = - 41, 7108 x + 67 y = - 458

解答

x = - \frac{46717}{763175}, y = - \frac{260742}{763175}

求解步骤

[67 x + 108 y = - 41 7108 x + 67 y = - 458]

对于

67 x + 108 y = - 41

将

x

移到一边:

x = \frac{- 41 - 108 y}{67}

替代

x = \frac{- 41 - 108 y}{67}

[7108 \cdot \frac{- 41 - 108 y}{67} + 67 y = - 458]

化简

[\frac{- 291428 - 763175 y}{67} = - 458]

对于

\frac{- 291428 - 763175 y}{67} = - 458

将

y

移到一边:

y = - \frac{260742}{763175}

对于

x = \frac{- 41 - 108 y}{67}

替代

y = - \frac{260742}{763175}

x = \frac{- 41 - 108 ( - \frac{260742}{763175} )}{67}

\frac{- 41 - 108 ( - \frac{260742}{763175} )}{67} = - \frac{46717}{763175}

x = - \frac{46717}{763175}

方程组的解为:

x = - \frac{46717}{763175}, y = - \frac{260742}{763175}

作图

流行的例子

6y-8x=1,5x-2y= 1/4

6 y - 8 x = 1, 5 x - 2 y = \frac{1}{4}

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

f (x) = 3, x - 5 = 10

2 x/3+y=1,3(x-2)-4y=24

2 \frac{x}{3} + y = 1, 3 (x - 2) - 4 y = 24

2x+y=6,4x-y=12x

2 x + y = 6, 4 x - y = 12 x