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受欢迎的代数 >

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

解答

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

解答

x = \frac{6}{7}, y = - \frac{4}{7}

求解步骤

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

对于

3 x + y = 2

将

x

移到一边:

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

替代

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

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

化简

[\frac{8 - 7 y}{3} = 4]

对于

\frac{8 - 7 y}{3} = 4

将

y

移到一边:

y = - \frac{4}{7}

对于

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

替代

y = - \frac{4}{7}

x = \frac{2 - ( - \frac{4}{7} )}{3}

\frac{2 - ( - \frac{4}{7} )}{3} = \frac{6}{7}

x = \frac{6}{7}

方程组的解为:

x = \frac{6}{7}, y = - \frac{4}{7}

作图

流行的例子

a + b = 1, 4 a - b = 2

x - y = 10, x + y = 2

x+y=176,4x+5y=796

x + y = 176, 4 x + 5 y = 796

20d+30b=19,35d+40b=295

20 d + 30 b = 19, 35 d + 40 b = 295

(2)2x+y=7,x-2y=6

(2) 2 x + y = 7, x - 2 y = 6