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受欢迎的代数 >

a-b=2,b-c=3,a+c=5a+b+c

解答

a - b = 2, b - c = 3, a + c = 5 a + b + c

解答

a = \frac{2}{5}, b = - \frac{8}{5}, c = - \frac{23}{5}

求解步骤

a - b = 2 b - c = 3 a + c = 5 a + b + c

对于

a - b = 2

将

a

移到一边:

a = 2 + b

替代

a = 2 + b

[b - c = 3 2 + b + c = 5 (2 + b) + b + c]

化简

[b - c = 3 2 + b + c = 10 + 6 b + c]

对于

b - c = 3

将

b

移到一边:

b = 3 + c

替代

b = 3 + c

[2 + 3 + c + c = 10 + 6 (3 + c) + c]

化简

[2 c + 5 = 7 c + 28]

对于

2 c + 5 = 7 c + 28

将

c

移到一边:

c = - \frac{23}{5}

对于

b = 3 + c

替代

c = - \frac{23}{5}

b = 3 - \frac{23}{5}

3 - \frac{23}{5} = - \frac{8}{5}

b = - \frac{8}{5}

对于

a = 2 + b

替代

b = - \frac{8}{5}, c = - \frac{23}{5}

a = 2 - \frac{8}{5}

2 - \frac{8}{5} = \frac{2}{5}

a = \frac{2}{5}

方程组的解为:

a = \frac{2}{5}, b = - \frac{8}{5}, c = - \frac{23}{5}

流行的例子

x - y = 55, x + y = 110

2x-3y=2,3x+4y=20

2 x - 3 y = 2, 3 x + 4 y = 20

5x=80, 0/5 x=36,x=18

5 x = 80, \frac{0}{5} x = 36, x = 18

2x+3y=4,3x-3y=-9

2 x + 3 y = 4, 3 x - 3 y = - 9

15x-7y=66,7x+2y=15

15 x - 7 y = 66, 7 x + 2 y = 15