xy-2(x-1)=4y eching

$$x y - 2 ( x - 1 ) = 4 y$$

x uchun yechish

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

$$y\neq 2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$xy-2x+2=4y$$

Ikkala tarafdan 2 ni ayirish.

$$xy-2x=4y-2$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(y-2\right)x=4y-2$$

Ikki tarafini y-2 ga bo‘ling.

$$\frac{\left(y-2\right)x}{y-2}=\frac{4y-2}{y-2}$$

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

$$x=\frac{4y-2}{y-2}$$

4y-2 ni y-2 ga bo'lish.

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

y uchun yechish

$$y=-\frac{2\left(1-x\right)}{x-4}$$

$$x\neq 4$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$xy-2x+2=4y$$

Ikkala tarafdan 4y ni ayirish.

$$xy-2x+2-4y=0$$

2x ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$xy+2-4y=2x$$

Ikkala tarafdan 2 ni ayirish.

$$xy-4y=2x-2$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(x-4\right)y=2x-2$$

Ikki tarafini x-4 ga bo‘ling.

$$\frac{\left(x-4\right)y}{x-4}=\frac{2x-2}{x-4}$$

x-4 ga bo'lish x-4 ga ko'paytirishni bekor qiladi.

$$y=\frac{2x-2}{x-4}$$

-2+2x ni x-4 ga bo'lish.

$$y=\frac{2\left(x-1\right)}{x-4}$$