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受欢迎的代数 >

3x-4y=41,11x+6y=47

解答

3 x - 4 y = 41, 11 x + 6 y = 47

解答

x = 7, y = - 5

求解步骤

[3 x - 4 y = 41 11 x + 6 y = 47]

对于

3 x - 4 y = 41

将

x

移到一边:

x = \frac{41 + 4 y}{3}

替代

x = \frac{41 + 4 y}{3}

[11 \cdot \frac{41 + 4 y}{3} + 6 y = 47]

化简

[\frac{451 + 62 y}{3} = 47]

对于

\frac{451 + 62 y}{3} = 47

将

y

移到一边:

y = - 5

对于

x = \frac{41 + 4 y}{3}

替代

y = - 5

x = \frac{41 + 4 ( - 5 )}{3}

\frac{41 + 4 ( - 5 )}{3} = 7

x = 7

方程组的解为:

x = 7, y = - 5

作图

流行的例子

x + 3 y = 13, 3 x + y = 7

3x+2y+z=14,5x-4y-z=4

3 x + 2 y + z = 14, 5 x - 4 y - z = 4

4x+7y=41,8x-6y=22

4 x + 7 y = 41, 8 x - 6 y = 22

x-y+2=0,2x+3y-5z=0,3x-4y+21=-1

x - y + 2 = 0, 2 x + 3 y - 5 z = 0, 3 x - 4 y + 21 = - 1

p(x)=x^3+3x^2+3x+1,9(x)=x+2

p (x) = x^{3} + 3 x^{2} + 3 x + 1, 9 (x) = x + 2