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受欢迎的代数 >

a+b=8,b+c=1,2c+a=15c

解答

a + b = 8, b + c = 1, 2 c + a = 15 c

解答

a = \frac{91}{12}, b = \frac{5}{12}, c = \frac{7}{12}

求解步骤

a + b = 8 b + c = 1 2 c + a = 15 c

对于

a + b = 8

将

a

移到一边:

a = 8 - b

替代

a = 8 - b

[b + c = 1 2 c + 8 - b = 15 c]

对于

b + c = 1

将

b

移到一边:

b = 1 - c

替代

b = 1 - c

[2 c + 8 - (1 - c) = 15 c]

化简

[3 c + 7 = 15 c]

对于

3 c + 7 = 15 c

将

c

移到一边:

c = \frac{7}{12}

对于

b = 1 - c

替代

c = \frac{7}{12}

b = 1 - \frac{7}{12}

1 - \frac{7}{12} = \frac{5}{12}

b = \frac{5}{12}

对于

a = 8 - b

替代

b = \frac{5}{12}, c = \frac{7}{12}

a = 8 - \frac{5}{12}

8 - \frac{5}{12} = \frac{91}{12}

a = \frac{91}{12}

方程组的解为:

a = \frac{91}{12}, b = \frac{5}{12}, c = \frac{7}{12}

流行的例子

x + 3 y = 12, 5 x - y = 4

a = 3, b = 4, c = 6

y = 0, y = 1

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

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

5x+3y=58,2x+8y=47

5 x + 3 y = 58, 2 x + 8 y = 47