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受欢迎的代数 >

5x+4y=10,6x+2y=2

解答

5 x + 4 y = 10, 6 x + 2 y = 2

解答

x = - \frac{6}{7}, y = \frac{25}{7}

求解步骤

[5 x + 4 y = 10 6 x + 2 y = 2]

对于

5 x + 4 y = 10

将

x

移到一边:

x = \frac{10 - 4 y}{5}

替代

x = \frac{10 - 4 y}{5}

[6 \cdot \frac{10 - 4 y}{5} + 2 y = 2]

化简

[\frac{60 - 14 y}{5} = 2]

对于

\frac{60 - 14 y}{5} = 2

将

y

移到一边:

y = \frac{25}{7}

对于

x = \frac{10 - 4 y}{5}

替代

y = \frac{25}{7}

x = \frac{10 - 4 \cdot \frac{25}{7}}{5}

\frac{10 - 4 \cdot \frac{25}{7}}{5} = - \frac{6}{7}

x = - \frac{6}{7}

方程组的解为:

x = - \frac{6}{7}, y = \frac{25}{7}

作图

流行的例子

3 x + 2 y = 10, x - y = 0

2x+5y=60,3x-2y=14

2 x + 5 y = 60, 3 x - 2 y = 14

7x+3y=37,7x+y=31

7 x + 3 y = 37, 7 x + y = 31

4x-x=2,x-54x-x=2x-5

4 x - x = 2, x - 54 x - x = 2 x - 5

5a-2b=11,3a+b=11

5 a - 2 b = 11, 3 a + b = 11