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受欢迎的代数 >

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

解答

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

解答

x = - \frac{7}{10}, y = \frac{8}{5}

求解步骤

[4 x + 3 y = 2 x - 7 = 3 x - y - 4]

对于

4 x + 3 y = 2

将

x

移到一边:

x = \frac{2 - 3 y}{4}

替代

x = \frac{2 - 3 y}{4}

[\frac{2 - 3 y}{4} - 7 = 3 \cdot \frac{2 - 3 y}{4} - y - 4]

化简

[\frac{2 - 3 y}{4} - 7 = \frac{6 - 13 y}{4} - 4]

对于

\frac{2 - 3 y}{4} - 7 = \frac{6 - 13 y}{4} - 4

将

y

移到一边:

y = \frac{8}{5}

对于

x = \frac{2 - 3 y}{4}

替代

y = \frac{8}{5}

x = \frac{2 - 3 \cdot \frac{8}{5}}{4}

\frac{2 - 3 \cdot \frac{8}{5}}{4} = - \frac{7}{10}

x = - \frac{7}{10}

方程组的解为:

x = - \frac{7}{10}, y = \frac{8}{5}

作图

流行的例子

5x-7y=46,3x+4y=3

5 x - 7 y = 46, 3 x + 4 y = 3

(2)x-2y=3,x+y=7

(2) x - 2 y = 3, x + y = 7

c = (- 6.2), r = 49

27x+31y=35,31x+24y=89

27 x + 31 y = 35, 31 x + 24 y = 89

x+2y+5z=23,3x+y+4z=26,6x+y+7z=47

x + 2 y + 5 z = 23, 3 x + y + 4 z = 26, 6 x + y + 7 z = 47