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受欢迎的代数 >

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

解答

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

解答

x = \frac{17}{7}, y = \frac{1}{7}

求解步骤

[2 x + y = 5 x - 3 y = 2]

对于

2 x + y = 5

将

x

移到一边:

x = \frac{5 - y}{2}

替代

x = \frac{5 - y}{2}

[\frac{5 - y}{2} - 3 y = 2]

化简

[\frac{5 - 7 y}{2} = 2]

对于

\frac{5 - 7 y}{2} = 2

将

y

移到一边:

y = \frac{1}{7}

对于

x = \frac{5 - y}{2}

替代

y = \frac{1}{7}

x = \frac{5 - \frac{1}{7}}{2}

\frac{5 - \frac{1}{7}}{2} = \frac{17}{7}

x = \frac{17}{7}

方程组的解为:

x = \frac{17}{7}, y = \frac{1}{7}

作图

流行的例子

5x+3y=11,4x+2y=8

5 x + 3 y = 11, 4 x + 2 y = 8

y^z=21,6^x=3,6^y=7

y^{z} = 21, 6^{x} = 3, 6^{y} = 7

1042x+347y=21,652x+551y=-2

1042 x + 347 y = 21, 652 x + 551 y = - 2

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

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

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

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