x(y-2)-y(x-3)=-14 eching

$$x(y-2)-y(x-3)=-14$$

x uchun yechish

$$x=\frac{3y}{2}+7$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$xy-2x-y\left(x-3\right)=-14$$

y ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$xy-2x-\left(yx-3y\right)=-14$$

yx-3y teskarisini topish uchun har birining teskarisini toping.

$$xy-2x-yx+3y=-14$$

0 ni olish uchun xy va -yx ni birlashtirish.

$$-2x+3y=-14$$

Ikkala tarafdan 3y ni ayirish.

$$-2x=-14-3y$$

Tenglama standart shaklda.

$$-2x=-3y-14$$

Ikki tarafini -2 ga bo‘ling.

$$\frac{-2x}{-2}=\frac{-3y-14}{-2}$$

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

$$x=\frac{-3y-14}{-2}$$

-14-3y ni -2 ga bo'lish.

$$x=\frac{3y}{2}+7$$

y uchun yechish

$$y=\frac{2\left(x-7\right)}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$xy-2x-y\left(x-3\right)=-14$$

y ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$xy-2x-\left(yx-3y\right)=-14$$

yx-3y teskarisini topish uchun har birining teskarisini toping.

$$xy-2x-yx+3y=-14$$

0 ni olish uchun xy va -yx ni birlashtirish.

$$-2x+3y=-14$$

2x ni ikki tarafga qo’shing.

$$3y=-14+2x$$

Tenglama standart shaklda.

$$3y=2x-14$$

Ikki tarafini 3 ga bo‘ling.

$$\frac{3y}{3}=\frac{2x-14}{3}$$

3 ga bo'lish 3 ga ko'paytirishni bekor qiladi.

$$y=\frac{2x-14}{3}$$