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受欢迎的代数 >

2c+3g=35,23c+4g=501

解答

2 c + 3 g = 35, 23 c + 4 g = 501

解答

c = \frac{1363}{61}, g = - \frac{197}{61}

求解步骤

[2 c + 3 g = 35 23 c + 4 g = 501]

对于

2 c + 3 g = 35

将

c

移到一边:

c = \frac{35 - 3 g}{2}

替代

c = \frac{35 - 3 g}{2}

[23 \cdot \frac{35 - 3 g}{2} + 4 g = 501]

化简

[\frac{805 - 61 g}{2} = 501]

对于

\frac{805 - 61 g}{2} = 501

将

g

移到一边:

g = - \frac{197}{61}

对于

c = \frac{35 - 3 g}{2}

替代

g = - \frac{197}{61}

c = \frac{35 - 3 ( - \frac{197}{61} )}{2}

\frac{35 - 3 ( - \frac{197}{61} )}{2} = \frac{1363}{61}

c = \frac{1363}{61}

方程组的解为:

c = \frac{1363}{61}, g = - \frac{197}{61}

作图

流行的例子

2x+3y=15,2y=15-3x

2 x + 3 y = 15, 2 y = 15 - 3 x

5x+4y=10,6x+2y=2

5 x + 4 y = 10, 6 x + 2 y = 2

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

2x+5y=60,3x-2y=14

2 x + 5 y = 60, 3 x - 2 y = 14

7x+3y=37,7x+y=31

7 x + 3 y = 37, 7 x + y = 31