y=x+2/x+4 eching

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

x uchun yechish

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

$$y\neq 1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -4 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x+4 ga ko'paytirish.

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

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

$$yx+4y=x+2$$

Ikkala tarafdan x ni ayirish.

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

Ikkala tarafdan 4y ni ayirish.

$$yx-x=2-4y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Ikki tarafini y-1 ga bo‘ling.

$$\frac{\left(y-1\right)x}{y-1}=\frac{2-4y}{y-1}$$

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

$$x=\frac{2-4y}{y-1}$$

2-4y ni y-1 ga bo'lish.

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

x qiymati -4 teng bo‘lmaydi.

$$x=\frac{2\left(1-2y\right)}{y-1}\text{, }x\neq -4$$

y uchun yechish

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

$$x\neq -4$$