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受欢迎的代数 >

5x+2y=2,2-2x+6y=3

解答

5 x + 2 y = 2, 2 - 2 x + 6 y = 3

解答

x = \frac{5}{17}, y = \frac{9}{34}

求解步骤

[5 x + 2 y = 2 2 - 2 x + 6 y = 3]

对于

5 x + 2 y = 2

将

x

移到一边:

x = \frac{2 - 2 y}{5}

替代

x = \frac{2 - 2 y}{5}

[2 - 2 \cdot \frac{2 - 2 y}{5} + 6 y = 3]

化简

[\frac{- 4 + 34 y}{5} + 2 = 3]

对于

\frac{- 4 + 34 y}{5} + 2 = 3

将

y

移到一边:

y = \frac{9}{34}

对于

x = \frac{2 - 2 y}{5}

替代

y = \frac{9}{34}

x = \frac{2 - 2 \cdot \frac{9}{34}}{5}

\frac{2 - 2 \cdot \frac{9}{34}}{5} = \frac{5}{17}

x = \frac{5}{17}

方程组的解为:

x = \frac{5}{17}, y = \frac{9}{34}

作图

流行的例子

2 x - y = - 1, x - y = - 2

x + y = 7, 2 x + 3 y = 20

x=5-2sqrt(7),y=-9+2sqrt(15)

x = 5 - 27, y = - 9 + 215

3x+8y=79,505x+6y=6500

3 x + 8 y = 79, 505 x + 6 y = 6500

x-3y=7,6x-18y=17

x - 3 y = 7, 6 x - 18 y = 17