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受欢迎的代数 >

5x+0.3y=4.56,0.02x-0.9y=-0.912

解答

5 x + 0.3 y = 4.56, 0.02 x - 0.9 y = - 0.912

解答

x = 0.85006 \dots, y = \frac{0.93024}{0.9012}

求解步骤

[5 x + 0.3 y = 4.56 0.02 x - 0.9 y = - 0.912]

对于

5 x + 0.3 y = 4.56

将

x

移到一边:

x = \frac{3 ( - 5 y + 76 )}{250}

替代

x = \frac{3 ( - 5 y + 76 )}{250}

[0.02 \cdot \frac{3 ( - 5 y + 76 )}{250} - 0.9 y = - 0.912]

化简

[- 0.9012 y + 0.01824 = - 0.912]

对于

- 0.9012 y + 0.01824 = - 0.912

将

y

移到一边:

y = \frac{0.93024}{0.9012}

对于

x = \frac{3 ( - 5 y + 76 )}{250}

替代

y = \frac{0.93024}{0.9012}

x = \frac{3 ( - 5 \cdot \frac{0.93024}{0.9012} + 76 )}{250}

\frac{3 ( - 5 \cdot \frac{0.93024}{0.9012} + 76 )}{250} = 0.85006 \dots

x = 0.85006 \dots

方程组的解为:

x = 0.85006 \dots, y = \frac{0.93024}{0.9012}

作图

流行的例子

4x+5y=5,2x-y=12

4 x + 5 y = 5, 2 x - y = 12

3x+4y=2,7-x-y=1

3 x + 4 y = 2, 7 - x - y = 1

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

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