y=1-2x/3-x eching

$$y= \frac{ 1-2x }{ 3-x }$$

x uchun yechish

$$x=-\frac{3y-1}{2-y}$$

$$y\neq 2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 3 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini -x+3 ga ko'paytirish.

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

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

$$-yx+3y=1-2x$$

2x ni ikki tarafga qo’shing.

$$-yx+3y+2x=1$$

Ikkala tarafdan 3y ni ayirish.

$$-yx+2x=1-3y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

Ikki tarafini -y+2 ga bo‘ling.

$$\frac{\left(2-y\right)x}{2-y}=\frac{1-3y}{2-y}$$

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

$$x=\frac{1-3y}{2-y}$$

x qiymati 3 teng bo‘lmaydi.

$$x=\frac{1-3y}{2-y}\text{, }x\neq 3$$

y uchun yechish

$$y=-\frac{2x-1}{3-x}$$

$$x\neq 3$$