x+y=2xy eching

$$x + y = 2 x y$$

x uchun yechish

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

$$y\neq \frac{1}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 2xy ni ayirish.

$$x+y-2xy=0$$

Ikkala tarafdan y ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$x-2xy=-y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(1-2y\right)x=-y$$

Ikki tarafini 1-2y ga bo‘ling.

$$\frac{\left(1-2y\right)x}{1-2y}=-\frac{y}{1-2y}$$

1-2y ga bo'lish 1-2y ga ko'paytirishni bekor qiladi.

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

y uchun yechish

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

$$x\neq \frac{1}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 2xy ni ayirish.

$$x+y-2xy=0$$

Ikkala tarafdan x ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$y-2xy=-x$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(1-2x\right)y=-x$$

Ikki tarafini 1-2x ga bo‘ling.

$$\frac{\left(1-2x\right)y}{1-2x}=-\frac{x}{1-2x}$$

1-2x ga bo'lish 1-2x ga ko'paytirishni bekor qiladi.

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