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受欢迎的代数 >

x+y=2xy,x-y=xy

解答

x + y = 2 x y, x - y = x y

解答

(x = 2, y = \frac{2}{3} x = 0, y = 0)

求解步骤

[x + y = 2 x y x - y = x y]

对于

x + y = 2 x y

将

x

移到一边:

x = - \frac{y}{1 - 2 y}; y \neq = \frac{1}{2}

替代

x = - \frac{y}{1 - 2 y}

[- \frac{y}{1 - 2 y} - y = (- \frac{y}{1 - 2 y}) y]

化简

[\frac{- 2 y + 2 y ^{2}}{1 - 2 y} = - \frac{y ^{2}}{1 - 2 y}]

\frac{- 2 y + 2 y ^{2}}{1 - 2 y} = - \frac{y ^{2}}{1 - 2 y} : y = \frac{2}{3}, y = 0

对于

y = \frac{2}{3} : x = 2

对于

y = 0 : x = 0

方程组的解为:

(x = 2, y = \frac{2}{3} x = 0, y = 0)

作图

流行的例子

f(x)=5,x^2= 1/2

f (x) = 5, x^{2} = \frac{1}{2}

(10)/((x+y))+2/((x-y))=4,(15)/((x+y))-5/((x-y))=-2

\frac{10}{( x + y )} + \frac{2}{( x - y )} = 4, \frac{15}{( x + y )} - \frac{5}{( x - y )} = - 2

15 a = 3, b = 5 c

u^{53} n = 3 u, m = 5

2a^2=3,b+82b^2=3a+8a^2+b^2

2 a^{2} = 3, b + 82 b^{2} = 3 a + 8 a^{2} + b^{2}