y=x+2/x+3 eching

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

x uchun yechish

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

$$y\neq 1$$

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.

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

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

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

Ikkala tarafdan x ni ayirish.

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

Ikkala tarafdan 3y ni ayirish.

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

x'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Ikki tarafini y-1 ga bo‘ling.

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

y-1 ga bo'lish y-1 ga ko'paytirishni bekor qiladi.

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

x qiymati -3 teng bo‘lmaydi.

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

y uchun yechish

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

$$x\neq -3$$