x=-1/y-1+3 eching

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

y uchun yechish

$$y=-\frac{4-x}{x-3}$$

$$x\neq 3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

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

y-1 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$xy-x=-1+3y-3$$

-4 olish uchun -1 dan 3 ni ayirish.

$$xy-x=-4+3y$$

Ikkala tarafdan 3y ni ayirish.

$$xy-x-3y=-4$$

x ni ikki tarafga qo’shing.

$$xy-3y=-4+x$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(x-3\right)y=-4+x$$

Tenglama standart shaklda.

$$\left(x-3\right)y=x-4$$

Ikki tarafini x-3 ga bo‘ling.

$$\frac{\left(x-3\right)y}{x-3}=\frac{x-4}{x-3}$$

x-3 ga bo'lish x-3 ga ko'paytirishni bekor qiladi.

$$y=\frac{x-4}{x-3}$$

y qiymati 1 teng bo‘lmaydi.

$$y=\frac{x-4}{x-3}\text{, }y\neq 1$$

x uchun yechish

$$x=-\frac{4-3y}{y-1}$$

$$y\neq 1$$