y=2x-3/x+1 eching

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

x uchun yechish

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

$$y\neq 2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -1 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x+1 ga ko'paytirish.

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

y ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

Ikkala tarafdan 2x ni ayirish.

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

Ikkala tarafdan y ni ayirish.

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

x'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

Ikki tarafini y-2 ga bo‘ling.

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

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

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

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

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

x qiymati -1 teng bo‘lmaydi.

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

y uchun yechish

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

$$x\neq -1$$