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受欢迎的代数 >

4x-3y=33,3x+4y=11

解答

4 x - 3 y = 33, 3 x + 4 y = 11

解答

x = \frac{33}{5}, y = - \frac{11}{5}

求解步骤

[4 x - 3 y = 33 3 x + 4 y = 11]

对于

4 x - 3 y = 33

将

x

移到一边:

x = \frac{33 + 3 y}{4}

替代

x = \frac{33 + 3 y}{4}

[3 \cdot \frac{33 + 3 y}{4} + 4 y = 11]

化简

[\frac{99 + 25 y}{4} = 11]

对于

\frac{99 + 25 y}{4} = 11

将

y

移到一边:

y = - \frac{11}{5}

对于

x = \frac{33 + 3 y}{4}

替代

y = - \frac{11}{5}

x = \frac{33 + 3 ( - \frac{11}{5} )}{4}

\frac{33 + 3 ( - \frac{11}{5} )}{4} = \frac{33}{5}

x = \frac{33}{5}

方程组的解为:

x = \frac{33}{5}, y = - \frac{11}{5}

作图

流行的例子

x y = 1, 2 y x - y = 15

x + 2 = 9, x - 2 = - 5

12p+13y=51,13p+12y=49

12 p + 13 y = 51, 13 p + 12 y = 49

x+3(2-y)=6,3x+2y=22

x + 3 (2 - y) = 6, 3 x + 2 y = 22

2x+3y-6z=4,3x-2y-9z=-7,2x+5y-6z=8

2 x + 3 y - 6 z = 4, 3 x - 2 y - 9 z = - 7, 2 x + 5 y - 6 z = 8