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受欢迎的代数 >

1.1x+6y=7,2x+y=3

解答

1.1 x + 6 y = 7, 2 x + y = 3

解答

x = 1.00917 \dots, y = \frac{107}{109}

求解步骤

[1.1 x + 6 y = 7 2 x + y = 3]

对于

1.1 x + 6 y = 7

将

x

移到一边:

x = \frac{70 - 60 y}{11}

替代

x = \frac{70 - 60 y}{11}

[2 \cdot \frac{70 - 60 y}{11} + y = 3]

化简

[\frac{140 - 109 y}{11} = 3]

对于

\frac{140 - 109 y}{11} = 3

将

y

移到一边:

y = \frac{107}{109}

对于

x = \frac{70 - 60 y}{11}

替代

y = \frac{107}{109}

x = \frac{70 - 60 \cdot \frac{107}{109}}{11}

\frac{70 - 60 \cdot \frac{107}{109}}{11} = 1.00917 \dots

x = 1.00917 \dots

方程组的解为:

x = 1.00917 \dots, y = \frac{107}{109}

作图

流行的例子

5x+y=10,5x-2y=10

5 x + y = 10, 5 x - 2 y = 10

y=2+sqrt(4-x),y=-x

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

2x+7y=6,-3x-5y=9

2 x + 7 y = 6, - 3 x - 5 y = 9

a/b = 9/11 ,a+b=800

\frac{a}{b} = \frac{9}{11}, a + b = 800

7x+2y=24,8x+2y=30

7 x + 2 y = 24, 8 x + 2 y = 30