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受欢迎的代数 >

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

解答

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

解答

a = \frac{1}{2}, b = \frac{3}{2}, c = \frac{5}{2}

求解步骤

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

对于

a + b = 2

将

a

移到一边:

a = 2 - b

替代

a = 2 - b

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

对于

2 - b + c = 3

将

b

移到一边:

b = c - 1

替代

b = c - 1

[c - 1 + c = 4]

化简

[2 c - 1 = 4]

对于

2 c - 1 = 4

将

c

移到一边:

c = \frac{5}{2}

对于

b = c - 1

替代

c = \frac{5}{2}

b = \frac{5}{2} - 1

\frac{5}{2} - 1 = \frac{3}{2}

b = \frac{3}{2}

对于

a = 2 - b

替代

b = \frac{3}{2}, c = \frac{5}{2}

a = 2 - \frac{3}{2}

2 - \frac{3}{2} = \frac{1}{2}

a = \frac{1}{2}

方程组的解为:

a = \frac{1}{2}, b = \frac{3}{2}, c = \frac{5}{2}

流行的例子

5x+2y=10,-3x+3y=5

5 x + 2 y = 10, - 3 x + 3 y = 5

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

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

7x-6y=12,5x+3y=11

7 x - 6 y = 12, 5 x + 3 y = 11

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

2x-y=3,2y-5x=13

2 x - y = 3, 2 y - 5 x = 13