y=-2x/x-6+1 eching

$$y = \frac { - 2 x } { x - 6 } + 1$$

x uchun yechish

$$x=-\frac{6\left(1-y\right)}{y+1}$$

$$y\neq -1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 6 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x-6 ga ko'paytirish.

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

y ga x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

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

$$yx-6y=-x-6$$

x ni ikki tarafga qo’shing.

$$yx-6y+x=-6$$

6y ni ikki tarafga qo’shing.

$$yx+x=-6+6y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(y+1\right)x=-6+6y$$

Tenglama standart shaklda.

$$\left(y+1\right)x=6y-6$$

Ikki tarafini y+1 ga bo‘ling.

$$\frac{\left(y+1\right)x}{y+1}=\frac{6y-6}{y+1}$$

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

$$x=\frac{6y-6}{y+1}$$

-6+6y ni y+1 ga bo'lish.

$$x=\frac{6\left(y-1\right)}{y+1}$$

x qiymati 6 teng bo‘lmaydi.

$$x=\frac{6\left(y-1\right)}{y+1}\text{, }x\neq 6$$

y uchun yechish

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

$$x\neq 6$$