varepsilon-xz-x=R eching

$$\varepsilon - x z - x = R$$

x uchun yechish

$$\left\{\begin{matrix}x=\frac{\epsilon -R}{z+1}\text{, }&z\neq -1\\x\in \mathrm{R}\text{, }&\epsilon =R\text{ and }z=-1\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan \epsilon ni ayirish.

$$-xz-x=R-\epsilon$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-z-1\right)x=R-\epsilon$$

Ikki tarafini -z-1 ga bo‘ling.

$$\frac{\left(-z-1\right)x}{-z-1}=\frac{R-\epsilon }{-z-1}$$

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

$$x=\frac{R-\epsilon }{-z-1}$$

R-\epsilon ni -z-1 ga bo'lish.

$$x=-\frac{R-\epsilon }{z+1}$$

R uchun yechish

$$R=\epsilon -x-xz$$

Yechim qadamlari

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$R=\epsilon -xz-x$$