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受欢迎的代数 >

4x+5y=5,2x-y=12

解答

4 x + 5 y = 5, 2 x - y = 12

解答

x = \frac{65}{14}, y = - \frac{19}{7}

求解步骤

[4 x + 5 y = 5 2 x - y = 12]

对于

4 x + 5 y = 5

将

x

移到一边:

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

替代

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

[2 \cdot \frac{5 - 5 y}{4} - y = 12]

化简

[\frac{5 - 7 y}{2} = 12]

对于

\frac{5 - 7 y}{2} = 12

将

y

移到一边:

y = - \frac{19}{7}

对于

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

替代

y = - \frac{19}{7}

x = \frac{5 - 5 ( - \frac{19}{7} )}{4}

\frac{5 - 5 ( - \frac{19}{7} )}{4} = \frac{65}{14}

x = \frac{65}{14}

方程组的解为:

x = \frac{65}{14}, y = - \frac{19}{7}

作图

流行的例子

3x+4y=2,7-x-y=1

3 x + 4 y = 2, 7 - x - y = 1

2 x - 3 y = 5, 4 x - y = 8

4a+5b=-3,-7b+3a=-13

4 a + 5 b = - 3, - 7 b + 3 a = - 13

2x+3y+z=9,x+2y+3z=6,3x+y+2z=8

2 x + 3 y + z = 9, x + 2 y + 3 z = 6, 3 x + y + 2 z = 8

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