left(x+1right)left(y+2right)=2xy eching

$$\left( x+1 \right) \left( y+2 \right) =2xy$$

x uchun yechish

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

$$y\neq 2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x+1 ga y+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$xy+2x+y+2=2xy$$

Ikkala tarafdan 2xy ni ayirish.

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

-xy ni olish uchun xy va -2xy ni birlashtirish.

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

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

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

Ikkala tarafdan 2 ni ayirish.

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

x'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

Ikki tarafini -y+2 ga bo‘ling.

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

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

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

-y-2 ni -y+2 ga bo'lish.

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

y uchun yechish

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

$$x\neq 1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x+1 ga y+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$xy+2x+y+2=2xy$$

Ikkala tarafdan 2xy ni ayirish.

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

-xy ni olish uchun xy va -2xy ni birlashtirish.

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

Ikkala tarafdan 2x ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

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

Ikkala tarafdan 2 ni ayirish.

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

y'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

Ikki tarafini -x+1 ga bo‘ling.

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

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

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

-2x-2 ni -x+1 ga bo'lish.

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