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受欢迎的代数 >

x/2+y/3 =7, x/3+y/2 =8

解答

\frac{x}{2} + \frac{y}{3} = 7, \frac{x}{3} + \frac{y}{2} = 8

解答

x = 6, y = 12

求解步骤

[\frac{x}{2} + \frac{y}{3} = 7 \frac{x}{3} + \frac{y}{2} = 8]

对于

\frac{x}{2} + \frac{y}{3} = 7

将

x

移到一边:

x = 14 - \frac{2 y}{3}

替代

x = 14 - \frac{2 y}{3}

[\frac{14 - \frac{2 y}{3}}{3} + \frac{y}{2} = 8]

化简

[\frac{84 + 5 y}{18} = 8]

对于

\frac{84 + 5 y}{18} = 8

将

y

移到一边:

y = 12

对于

x = 14 - \frac{2 y}{3}

替代

y = 12

x = 14 - \frac{2 \cdot 12}{3}

14 - \frac{2 \cdot 12}{3} = 6

x = 6

方程组的解为:

x = 6, y = 12

作图

流行的例子

2/5 x+3/5 y=3,7x-y=30

\frac{2}{5} x + \frac{3}{5} y = 3, 7 x - y = 30

7 x - 2 y = 3, x + 3 y = 7

4x+y=-3,-3x+y=11

4 x + y = - 3, - 3 x + y = 11

8x-3y=18,-2x+9y=12

8 x - 3 y = 18, - 2 x + 9 y = 12

3x+2y=8,0.752x+4y=8.5

3 x + 2 y = 8, 0.752 x + 4 y = 8.5