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受欢迎的代数 >

141x+93y=18,993x+141y=45

解答

141 x + 93 y = 18, 993 x + 141 y = 45

解答

x = \frac{1}{44}, y = \frac{7}{44}

求解步骤

[141 x + 93 y = 18 993 x + 141 y = 45]

对于

141 x + 93 y = 18

将

x

移到一边:

x = \frac{6 - 31 y}{47}

替代

x = \frac{6 - 31 y}{47}

[993 \cdot \frac{6 - 31 y}{47} + 141 y = 45]

化简

[\frac{5958 - 24156 y}{47} = 45]

对于

\frac{5958 - 24156 y}{47} = 45

将

y

移到一边:

y = \frac{7}{44}

对于

x = \frac{6 - 31 y}{47}

替代

y = \frac{7}{44}

x = \frac{6 - 31 \cdot \frac{7}{44}}{47}

\frac{6 - 31 \cdot \frac{7}{44}}{47} = \frac{1}{44}

x = \frac{1}{44}

方程组的解为:

x = \frac{1}{44}, y = \frac{7}{44}

作图

流行的例子

-x+4y=11,2x+y=-4

- x + 4 y = 11, 2 x + y = - 4

x/2+y/3 =2, x/3+y/9 =1

\frac{x}{2} + \frac{y}{3} = 2, \frac{x}{3} + \frac{y}{9} = 1

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

b = - \frac{23}{3}, a = 0

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