x=-3y-z/2y+1 eching

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

y uchun yechish

$$\left\{\begin{matrix}y=-\frac{x+z}{2x+3}\text{, }&z\neq \frac{3}{2}\text{ and }x\neq -\frac{3}{2}\\y\neq -\frac{1}{2}\text{, }&x=-\frac{3}{2}\text{ and }z=\frac{3}{2}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

y qiymati -\frac{1}{2} teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2y+1 ga ko'paytirish.

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

x ga 2y+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2xy+x=-3y-z$$

3y ni ikki tarafga qo’shing.

$$2xy+x+3y=-z$$

Ikkala tarafdan x ni ayirish.

$$2xy+3y=-z-x$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

Ikki tarafini 2x+3 ga bo‘ling.

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

2x+3 ga bo'lish 2x+3 ga ko'paytirishni bekor qiladi.

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

-z-x ni 2x+3 ga bo'lish.

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

y qiymati -\frac{1}{2} teng bo‘lmaydi.

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

x uchun yechish

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

$$y\neq -\frac{1}{2}$$