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受欢迎的代数 >

(1)2x+3y=1,3x-y=7

解答

(1) 2 x + 3 y = 1, 3 x - y = 7

解答

x = 2, y = - 1

求解步骤

[(1) \cdot 2 x + 3 y = 1 3 x - y = 7]

对于

(1) 2 x + 3 y = 1

将

x

移到一边:

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

替代

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

[3 \cdot \frac{1 - 3 y}{2} - y = 7]

化简

[\frac{3 - 11 y}{2} = 7]

对于

\frac{3 - 11 y}{2} = 7

将

y

移到一边:

y = - 1

对于

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

替代

y = - 1

x = \frac{1 - 3 ( - 1 )}{2}

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

x = 2

方程组的解为:

x = 2, y = - 1

作图

流行的例子

3/x+2/y = 9/x*y, 9/x+4/y =(21)/x*y

\frac{3}{x} + \frac{2}{y} = \frac{9}{x} \cdot y, \frac{9}{x} + \frac{4}{y} = \frac{21}{x} \cdot y

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

(x - 7)^{2} = 3 y, x = 0

1/7 x+1/6 y=3, 1/2 x-1/3 y=5

\frac{1}{7} x + \frac{1}{6} y = 3, \frac{1}{2} x - \frac{1}{3} y = 5

x-4y=2,0.8-3x+6y=-2.4

x - 4 y = 2, 0.8 - 3 x + 6 y = - 2.4