xy+3x+3y-6=x eching

$$xy+3x+3y-6=x$$

x uchun yechish

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

$$y\neq -2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan x ni ayirish.

$$xy+3x+3y-6-x=0$$

2x ni olish uchun 3x va -x ni birlashtirish.

$$xy+2x+3y-6=0$$

Ikkala tarafdan 3y ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$xy+2x-6=-3y$$

6 ni ikki tarafga qo’shing.

$$xy+2x=-3y+6$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

Ikki tarafini y+2 ga bo‘ling.

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

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

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

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

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

y uchun yechish

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

$$x\neq -3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 3x ni ayirish.

$$xy+3y-6=x-3x$$

-2x ni olish uchun x va -3x ni birlashtirish.

$$xy+3y-6=-2x$$

6 ni ikki tarafga qo’shing.

$$xy+3y=-2x+6$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

Ikki tarafini x+3 ga bo‘ling.

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

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

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

-2x+6 ni x+3 ga bo'lish.

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