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受欢迎的代数 >

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

解答

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

解答

x = \frac{19}{10}, y = - \frac{2}{5}

求解步骤

[2 x - 3 y = 5 4 x - y = 8]

对于

2 x - 3 y = 5

将

x

移到一边:

x = \frac{5 + 3 y}{2}

替代

x = \frac{5 + 3 y}{2}

[4 \cdot \frac{5 + 3 y}{2} - y = 8]

化简

[5 y + 10 = 8]

对于

5 y + 10 = 8

将

y

移到一边:

y = - \frac{2}{5}

对于

x = \frac{5 + 3 y}{2}

替代

y = - \frac{2}{5}

x = \frac{5 + 3 ( - \frac{2}{5} )}{2}

\frac{5 + 3 ( - \frac{2}{5} )}{2} = \frac{19}{10}

x = \frac{19}{10}

方程组的解为:

x = \frac{19}{10}, y = - \frac{2}{5}

作图

流行的例子

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

x+2y=12,4y-2x=1

x + 2 y = 12, 4 y - 2 x = 1

2 x + y = 8, 3 x + y = - 6