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受欢迎的代数 >

3x+2y=-1,5x+y=4

解答

3 x + 2 y = - 1, 5 x + y = 4

解答

x = \frac{9}{7}, y = - \frac{17}{7}

求解步骤

[3 x + 2 y = - 1 5 x + y = 4]

对于

3 x + 2 y = - 1

将

x

移到一边:

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

替代

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

[5 \cdot \frac{- 1 - 2 y}{3} + y = 4]

化简

[\frac{- 5 - 7 y}{3} = 4]

对于

\frac{- 5 - 7 y}{3} = 4

将

y

移到一边:

y = - \frac{17}{7}

对于

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

替代

y = - \frac{17}{7}

x = \frac{- 1 - 2 ( - \frac{17}{7} )}{3}

\frac{- 1 - 2 ( - \frac{17}{7} )}{3} = \frac{9}{7}

x = \frac{9}{7}

方程组的解为:

x = \frac{9}{7}, y = - \frac{17}{7}

作图

流行的例子

2x+3y=2,-5x+12y=1

2 x + 3 y = 2, - 5 x + 12 y = 1

x-y=14,3x+2y=22

x - y = 14, 3 x + 2 y = 22

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

3x+5y=3,2x+8y=2

3 x + 5 y = 3, 2 x + 8 y = 2

2 x + y = 4, 2 x - y = 8