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受欢迎的代数 >

4x+5y=5,7x-2y=41

解答

4 x + 5 y = 5, 7 x - 2 y = 41

解答

x = 5, y = - 3

求解步骤

[4 x + 5 y = 5 7 x - 2 y = 41]

对于

4 x + 5 y = 5

将

x

移到一边:

x = \frac{5 - 5 y}{4}

替代

x = \frac{5 - 5 y}{4}

[7 \cdot \frac{5 - 5 y}{4} - 2 y = 41]

化简

[\frac{35 - 43 y}{4} = 41]

对于

\frac{35 - 43 y}{4} = 41

将

y

移到一边:

y = - 3

对于

x = \frac{5 - 5 y}{4}

替代

y = - 3

x = \frac{5 - 5 ( - 3 )}{4}

\frac{5 - 5 ( - 3 )}{4} = 5

x = 5

方程组的解为:

x = 5, y = - 3

作图

流行的例子

5x+3y=1,4x-2y=8

5 x + 3 y = 1, 4 x - 2 y = 8

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

3-x/8 =5, x/8 =5 x/2-2/3 (x-4)+5

3 - \frac{x}{8} = 5, \frac{x}{8} = 5 \frac{x}{2} - \frac{2}{3} (x - 4) + 5

x - 1 = 3, y - 2 = 9

x-y=4,((x-y))/((y+x))= 2/5

x - y = 4, \frac{( x - y )}{( y + x )} = \frac{2}{5}