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受欢迎的代数 >

4x+3y=7,7x-5y=43

解答

4 x + 3 y = 7, 7 x - 5 y = 43

解答

x = 4, y = - 3

求解步骤

[4 x + 3 y = 7 7 x - 5 y = 43]

对于

4 x + 3 y = 7

将

x

移到一边:

x = \frac{7 - 3 y}{4}

替代

x = \frac{7 - 3 y}{4}

[7 \cdot \frac{7 - 3 y}{4} - 5 y = 43]

化简

[\frac{49 - 41 y}{4} = 43]

对于

\frac{49 - 41 y}{4} = 43

将

y

移到一边:

y = - 3

对于

x = \frac{7 - 3 y}{4}

替代

y = - 3

x = \frac{7 - 3 ( - 3 )}{4}

\frac{7 - 3 ( - 3 )}{4} = 4

x = 4

方程组的解为:

x = 4, y = - 3

作图

流行的例子

2x+7y=3,5x+4y=-6

2 x + 7 y = 3, 5 x + 4 y = - 6

2 x - 2 y = 4, x + 6 y = 0

x - 22 x + y = 8, y = 3

c = 10, b = 8

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