2-(3y+4x)=4(x-y) eching

$$2 - ( 3 y + 4 x ) = 4 ( x - y )$$

x uchun yechish

$$x=\frac{y+2}{8}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3y+4x teskarisini topish uchun har birining teskarisini toping.

$$2-3y-4x=4\left(x-y\right)$$

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

$$2-3y-4x=4x-4y$$

Ikkala tarafdan 4x ni ayirish.

$$2-3y-4x-4x=-4y$$

-8x ni olish uchun -4x va -4x ni birlashtirish.

$$2-3y-8x=-4y$$

Ikkala tarafdan 2 ni ayirish.

$$-3y-8x=-4y-2$$

3y ni ikki tarafga qo’shing.

$$-8x=-4y-2+3y$$

-y ni olish uchun -4y va 3y ni birlashtirish.

$$-8x=-y-2$$

Ikki tarafini -8 ga bo‘ling.

$$\frac{-8x}{-8}=\frac{-y-2}{-8}$$

-8 ga bo'lish -8 ga ko'paytirishni bekor qiladi.

$$x=\frac{-y-2}{-8}$$

-y-2 ni -8 ga bo'lish.

$$x=\frac{y}{8}+\frac{1}{4}$$

y uchun yechish

$$y=8x-2$$

Yechim qadamlari

3y+4x teskarisini topish uchun har birining teskarisini toping.

$$2-3y-4x=4\left(x-y\right)$$

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

$$2-3y-4x=4x-4y$$

4y ni ikki tarafga qo’shing.

$$2-3y-4x+4y=4x$$

y ni olish uchun -3y va 4y ni birlashtirish.

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

Ikkala tarafdan 2 ni ayirish.

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

4x ni ikki tarafga qo’shing.

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

8x ni olish uchun 4x va 4x ni birlashtirish.

$$y=8x-2$$