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

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

x uchun yechish

$$x=-\frac{3\left(y-2\right)}{11-2y}$$

$$y\neq \frac{11}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

y ga 3-2x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3y-2yx-x=4\left(1-3x\right)+2$$

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

$$3y-2yx-x=4-12x+2$$

6 olish uchun 4 va 2'ni qo'shing.

$$3y-2yx-x=6-12x$$

12x ni ikki tarafga qo’shing.

$$3y-2yx-x+12x=6$$

11x ni olish uchun -x va 12x ni birlashtirish.

$$3y-2yx+11x=6$$

Ikkala tarafdan 3y ni ayirish.

$$-2yx+11x=6-3y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-2y+11\right)x=6-3y$$

Tenglama standart shaklda.

$$\left(11-2y\right)x=6-3y$$

Ikki tarafini -2y+11 ga bo‘ling.

$$\frac{\left(11-2y\right)x}{11-2y}=\frac{6-3y}{11-2y}$$

-2y+11 ga bo'lish -2y+11 ga ko'paytirishni bekor qiladi.

$$x=\frac{6-3y}{11-2y}$$

6-3y ni -2y+11 ga bo'lish.

$$x=\frac{3\left(2-y\right)}{11-2y}$$

y uchun yechish

$$y=-\frac{11x-6}{3-2x}$$

$$x\neq \frac{3}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

y ga 3-2x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3y-2yx-x=4\left(1-3x\right)+2$$

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

$$3y-2yx-x=4-12x+2$$

6 olish uchun 4 va 2'ni qo'shing.

$$3y-2yx-x=6-12x$$

x ni ikki tarafga qo’shing.

$$3y-2yx=6-12x+x$$

-11x ni olish uchun -12x va x ni birlashtirish.

$$3y-2yx=6-11x$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(3-2x\right)y=6-11x$$

Ikki tarafini 3-2x ga bo‘ling.

$$\frac{\left(3-2x\right)y}{3-2x}=\frac{6-11x}{3-2x}$$

3-2x ga bo'lish 3-2x ga ko'paytirishni bekor qiladi.

$$y=\frac{6-11x}{3-2x}$$