3(1-3x)+4(x-2y)+2(y-2x)=15 eching

$$3 ( 1 - 3 x ) + 4 ( x - 2 y ) + 2 ( y - 2 x ) = 15$$

x uchun yechish

$$x=\frac{-2y-4}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3 ga 1-3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3-9x+4\left(x-2y\right)+2\left(y-2x\right)=15$$

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

$$3-9x+4x-8y+2\left(y-2x\right)=15$$

-5x ni olish uchun -9x va 4x ni birlashtirish.

$$3-5x-8y+2\left(y-2x\right)=15$$

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

$$3-5x-8y+2y-4x=15$$

-6y ni olish uchun -8y va 2y ni birlashtirish.

$$3-5x-6y-4x=15$$

-9x ni olish uchun -5x va -4x ni birlashtirish.

$$3-9x-6y=15$$

Ikkala tarafdan 3 ni ayirish.

$$-9x-6y=15-3$$

12 olish uchun 15 dan 3 ni ayirish.

$$-9x-6y=12$$

6y ni ikki tarafga qo’shing.

$$-9x=12+6y$$

Tenglama standart shaklda.

$$-9x=6y+12$$

Ikki tarafini -9 ga bo‘ling.

$$\frac{-9x}{-9}=\frac{6y+12}{-9}$$

-9 ga bo'lish -9 ga ko'paytirishni bekor qiladi.

$$x=\frac{6y+12}{-9}$$

12+6y ni -9 ga bo'lish.

$$x=\frac{-2y-4}{3}$$

y uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3 ga 1-3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3-9x+4\left(x-2y\right)+2\left(y-2x\right)=15$$

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

$$3-9x+4x-8y+2\left(y-2x\right)=15$$

-5x ni olish uchun -9x va 4x ni birlashtirish.

$$3-5x-8y+2\left(y-2x\right)=15$$

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

$$3-5x-8y+2y-4x=15$$

-6y ni olish uchun -8y va 2y ni birlashtirish.

$$3-5x-6y-4x=15$$

-9x ni olish uchun -5x va -4x ni birlashtirish.

$$3-9x-6y=15$$

Ikkala tarafdan 3 ni ayirish.

$$-9x-6y=15-3$$

12 olish uchun 15 dan 3 ni ayirish.

$$-9x-6y=12$$

9x ni ikki tarafga qo’shing.

$$-6y=12+9x$$

Tenglama standart shaklda.

$$-6y=9x+12$$

Ikki tarafini -6 ga bo‘ling.

$$\frac{-6y}{-6}=\frac{9x+12}{-6}$$

-6 ga bo'lish -6 ga ko'paytirishni bekor qiladi.

$$y=\frac{9x+12}{-6}$$

12+9x ni -6 ga bo'lish.

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