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受欢迎的代数 >

3x+8y=79,505x+6y=6500

解答

3 x + 8 y = 79, 505 x + 6 y = 6500

解答

x = \frac{25763}{2011}, y = \frac{20395}{4022}

求解步骤

[3 x + 8 y = 79 505 x + 6 y = 6500]

对于

3 x + 8 y = 79

将

x

移到一边:

x = \frac{79 - 8 y}{3}

替代

x = \frac{79 - 8 y}{3}

[505 \cdot \frac{79 - 8 y}{3} + 6 y = 6500]

化简

[\frac{39895 - 4022 y}{3} = 6500]

对于

\frac{39895 - 4022 y}{3} = 6500

将

y

移到一边:

y = \frac{20395}{4022}

对于

x = \frac{79 - 8 y}{3}

替代

y = \frac{20395}{4022}

x = \frac{79 - 8 \cdot \frac{20395}{4022}}{3}

\frac{79 - 8 \cdot \frac{20395}{4022}}{3} = \frac{25763}{2011}

x = \frac{25763}{2011}

方程组的解为:

x = \frac{25763}{2011}, y = \frac{20395}{4022}

作图

流行的例子

x-3y=7,6x-18y=17

x - 3 y = 7, 6 x - 18 y = 17

x+3y=12,2x-(-4)y=1

x + 3 y = 12, 2 x - (- 4) y = 1

3a-2b=1,8-2a+3b=17

3 a - 2 b = 1, 8 - 2 a + 3 b = 17

2 x + 4 y = 4, x + y = 0

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