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受欢迎的代数 >

x+y+z=10,3x+2y+z=1,9z=2x

解答

x + y + z = 10, 3 x + 2 y + z = 1, 9 z = 2 x

解答

x = - \frac{171}{7}, y = \frac{279}{7}, z = - \frac{38}{7}

求解步骤

x + y + z = 10 3 x + 2 y + z = 1 9 z = 2 x

对于

9 z = 2 x

将

z

移到一边:

z = \frac{2 x}{9}

替代

z = \frac{2 x}{9}

[x + y + \frac{2 x}{9} = 10 3 x + 2 y + \frac{2 x}{9} = 1]

化简

[y + \frac{11 x}{9} = 10 2 y + \frac{29 x}{9} = 1]

对于

y + \frac{11 x}{9} = 10

将

y

移到一边:

y = 10 - \frac{11 x}{9}

替代

y = 10 - \frac{11 x}{9}

[2 (10 - \frac{11 x}{9}) + \frac{29 x}{9} = 1]

化简

[20 + \frac{7 x}{9} = 1]

对于

20 + \frac{7 x}{9} = 1

将

x

移到一边:

x = - \frac{171}{7}

对于

y = 10 - \frac{11 x}{9}

替代

x = - \frac{171}{7}

y = 10 - \frac{11 ( - \frac{171}{7} )}{9}

10 - \frac{11 ( - \frac{171}{7} )}{9} = \frac{279}{7}

y = \frac{279}{7}

对于

z = \frac{2 x}{9}

替代

x = - \frac{171}{7}, y = \frac{279}{7}

z = \frac{2 ( - \frac{171}{7} )}{9}

\frac{2 ( - \frac{171}{7} )}{9} = - \frac{38}{7}

z = - \frac{38}{7}

方程组的解为:

x = - \frac{171}{7}, y = \frac{279}{7}, z = - \frac{38}{7}

流行的例子

2x+100=2,y^{0.2}y=x+250

2 x + 100 = 2, y^{0.2} y = x + 250

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

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

x + y = 1, 2 x + 4 y = 2

y = e^{x}, y = 0

2 x + y = 7, x - 3 y = 16