y-xy/3=-4+2y/-2 eching

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

x uchun yechish

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

$$y\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga, 3,-2 ning eng kichik karralisiga ko‘paytiring.

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

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

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

3 ga 4+2y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

Ikkala tarafdan 2y ni ayirish.

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

4y ni olish uchun 6y va -2y ni birlashtirish.

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

Tenglama standart shaklda.

$$\left(-2y\right)x=4y+12$$

Ikki tarafini -2y ga bo‘ling.

$$\frac{\left(-2y\right)x}{-2y}=\frac{4y+12}{-2y}$$

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

$$x=\frac{4y+12}{-2y}$$

12+4y ni -2y ga bo'lish.

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

y uchun yechish

$$y=-\frac{6}{x+2}$$

$$x\neq -2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga, 3,-2 ning eng kichik karralisiga ko‘paytiring.

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

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

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

3 ga 4+2y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

Ikkala tarafdan 6y ni ayirish.

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

-4y ni olish uchun 2y va -6y ni birlashtirish.

$$-4y-2yx=12$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-4-2x\right)y=12$$

Tenglama standart shaklda.

$$\left(-2x-4\right)y=12$$

Ikki tarafini -4-2x ga bo‘ling.

$$\frac{\left(-2x-4\right)y}{-2x-4}=\frac{12}{-2x-4}$$

-4-2x ga bo'lish -4-2x ga ko'paytirishni bekor qiladi.

$$y=\frac{12}{-2x-4}$$

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

$$y=-\frac{6}{x+2}$$