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受欢迎的代数 >

a+2b-c=-3,3a+b+c=4,a-b+2c=6

解答

a + 2 b - c = - 3, 3 a + b + c = 4, a - b + 2 c = 6

解答

a = 1, b = - 1, c = 2

求解步骤

a + 2 b - c = - 3 3 a + b + c = 4 a - b + 2 c = 6

对于

a + 2 b - c = - 3

将

a

移到一边:

a = - 3 - 2 b + c

替代

a = - 3 - 2 b + c

[3 (- 3 - 2 b + c) + b + c = 4 - 3 - 2 b + c - b + 2 c = 6]

化简

[- 5 b + 4 c - 9 = 4 - 3 b + 3 c - 3 = 6]

对于

- 5 b + 4 c - 9 = 4

将

b

移到一边:

b = - \frac{- 4 c + 13}{5}

替代

b = - \frac{- 4 c + 13}{5}

[- 3 (- \frac{- 4 c + 13}{5}) + 3 c - 3 = 6]

化简

[\frac{3 c + 39}{5} - 3 = 6]

对于

\frac{3 c + 39}{5} - 3 = 6

将

c

移到一边:

c = 2

对于

b = - \frac{- 4 c + 13}{5}

替代

c = 2

b = - \frac{- 4 \cdot 2 + 13}{5}

化简

b = - 1

对于

a = - 3 - 2 b + c

替代

b = - 1, c = 2

a = - 3 - 2 (- 1) + 2

- 3 - 2 (- 1) + 2 = 1

a = 1

方程组的解为:

a = 1, b = - 1, c = 2

流行的例子

x+7-6x-2y=-4,y=2

x + 7 - 6 x - 2 y = - 4, y = 2

3x+2y+6z=24,2x+4y+3z=23,5x+3y+4z=33

3 x + 2 y + 6 z = 24, 2 x + 4 y + 3 z = 23, 5 x + 3 y + 4 z = 33

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

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

3x+y=4,-6x-2y=1

3 x + y = 4, - 6 x - 2 y = 1

7x+4y=13,5x-2y=19

7 x + 4 y = 13, 5 x - 2 y = 19