zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

5p-4q+3r=9,2p+q-2r=1,4p+3q+4r=1

解答

5 p - 4 q + 3 r = 9, 2 p + q - 2 r = 1, 4 p + 3 q + 4 r = 1

解答

p = 1, q = - 1, r = 0

求解步骤

5 p - 4 q + 3 r = 9 2 p + q - 2 r = 1 4 p + 3 q + 4 r = 1

对于

5 p - 4 q + 3 r = 9

将

p

移到一边:

p = \frac{9 + 4 q - 3 r}{5}

替代

p = \frac{9 + 4 q - 3 r}{5}

[2 \cdot \frac{9 + 4 q - 3 r}{5} + q - 2 r = 1 4 \cdot \frac{9 + 4 q - 3 r}{5} + 3 q + 4 r = 1]

化简

[\frac{13 q - 16 r + 18}{5} = 1 \frac{31 q + 8 r + 36}{5} = 1]

对于

\frac{13 q - 16 r + 18}{5} = 1

将

q

移到一边:

q = \frac{16 r - 13}{13}

替代

q = \frac{16 r - 13}{13}

[\frac{31 \cdot \frac{16 r - 13}{13} + 8 r + 36}{5} = 1]

化简

[\frac{120 r + 13}{13} = 1]

对于

\frac{120 r + 13}{13} = 1

将

r

移到一边:

r = 0

对于

q = \frac{16 r - 13}{13}

替代

r = 0

q = \frac{16 \cdot 0 - 13}{13}

\frac{16 \cdot 0 - 13}{13} = - 1

q = - 1

对于

p = \frac{9 + 4 q - 3 r}{5}

替代

q = - 1, r = 0

p = \frac{9 + 4 ( - 1 ) - 3 \cdot 0}{5}

\frac{9 + 4 ( - 1 ) - 3 \cdot 0}{5} = 1

p = 1

方程组的解为:

p = 1, q = - 1, r = 0

流行的例子

x+2y+3z=2,-x+4y+z=1,4x+y+z=5

x + 2 y + 3 z = 2, - x + 4 y + z = 1, 4 x + y + z = 5

5x-2y=4,x+8y=26

5 x - 2 y = 4, x + 8 y = 26

x + y = 4, 8 x - 3 y = 4

2x+3y=0,3x+5y=2

2 x + 3 y = 0, 3 x + 5 y = 2

2x-5y+4=2,x+y-8=0

2 x - 5 y + 4 = 2, x + y - 8 = 0