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受欢迎的代数 >

7x+5y-3z=16,3x-5y+2z=-8,5x+3y-7z=0

解答

7 x + 5 y - 3 z = 16, 3 x - 5 y + 2 z = - 8, 5 x + 3 y - 7 z = 0

解答

x = 1, y = 3, z = 2

求解步骤

7 x + 5 y - 3 z = 16 3 x - 5 y + 2 z = - 8 5 x + 3 y - 7 z = 0

对于

7 x + 5 y - 3 z = 16

将

x

移到一边:

x = \frac{16 - 5 y + 3 z}{7}

替代

x = \frac{16 - 5 y + 3 z}{7}

[3 \cdot \frac{16 - 5 y + 3 z}{7} - 5 y + 2 z = - 8 5 \cdot \frac{16 - 5 y + 3 z}{7} + 3 y - 7 z = 0]

化简

[\frac{- 50 y + 23 z + 48}{7} = - 8 \frac{- 4 y - 34 z + 80}{7} = 0]

对于

\frac{- 50 y + 23 z + 48}{7} = - 8

将

y

移到一边:

y = - \frac{- 23 z - 104}{50}

替代

y = - \frac{- 23 z - 104}{50}

[\frac{- 4 ( - \frac{- 23 z - 104}{50} ) - 34 z + 80}{7} = 0]

化简

[\frac{128 ( - z + 2 )}{25} = 0]

对于

\frac{128 ( - z + 2 )}{25} = 0

将

z

移到一边:

z = 2

对于

y = - \frac{- 23 z - 104}{50}

替代

z = 2

y = - \frac{- 23 \cdot 2 - 104}{50}

- \frac{- 23 \cdot 2 - 104}{50} = 3

y = 3

对于

x = \frac{16 - 5 y + 3 z}{7}

替代

y = 3, z = 2

x = \frac{16 - 5 \cdot 3 + 3 \cdot 2}{7}

化简

x = 1

方程组的解为:

x = 1, y = 3, z = 2

流行的例子

x+y=g(x,y),8x-y=0

x + y = g (x, y), 8 x - y = 0

8x+4y=-4,10x-4y=4

8 x + 4 y = - 4, 10 x - 4 y = 4

y= 1/((x^2)),x=2,x=3

y = \frac{1}{( x ^{2} )}, x = 2, x = 3

-x+2y=1,2x+5y=25

- x + 2 y = 1, 2 x + 5 y = 25

(3/x)/(5/2)=2,x=(3/x)/(5/2)

\frac{\frac{3}{x}}{\frac{5}{2}} = 2, x = \frac{\frac{3}{x}}{\frac{5}{2}}