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受欢迎的代数 >

a+b=3,b+c=4,c+a=5

解答

a + b = 3, b + c = 4, c + a = 5

解答

a = 2, b = 1, c = 3

求解步骤

a + b = 3 b + c = 4 c + a = 5

对于

a + b = 3

将

a

移到一边:

a = 3 - b

替代

a = 3 - b

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

对于

b + c = 4

将

b

移到一边:

b = 4 - c

替代

b = 4 - c

[c + 3 - (4 - c) = 5]

化简

[2 c - 1 = 5]

对于

2 c - 1 = 5

将

c

移到一边:

c = 3

对于

b = 4 - c

替代

c = 3

b = 4 - 3

化简

b = 1

对于

a = 3 - b

替代

b = 1, c = 3

a = 3 - 1

化简

a = 2

方程组的解为:

a = 2, b = 1, c = 3

流行的例子

2x-3y=-16,5x+3y=2

2 x - 3 y = - 16, 5 x + 3 y = 2

9x-4y=23,2x-y=12

9 x - 4 y = 23, 2 x - y = 12

10x+8y+z=20,0x+y+z=100

10 x + 8 y + z = 20, 0 x + y + z = 100

3x+4y+10=0,x-y=2

3 x + 4 y + 10 = 0, x - y = 2

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

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