y=x+72-93xdiv24y+4z eching

$$y=x+72-93x \div 24y+4z$$

x uchun yechish

$$\left\{\begin{matrix}x=-\frac{8\left(72+4z-y\right)}{8-31y}\text{, }&y\neq \frac{8}{31}\\x\in \mathrm{R}\text{, }&y=\frac{8}{31}\text{ and }z=-\frac{556}{31}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{31}{8}x ni olish uchun 93x ni 24 ga bo‘ling.

$$y=x+72-\frac{31}{8}xy+4z$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x+72-\frac{31}{8}xy+4z=y$$

Ikkala tarafdan 72 ni ayirish.

$$x-\frac{31}{8}xy+4z=y-72$$

Ikkala tarafdan 4z ni ayirish.

$$x-\frac{31}{8}xy=y-72-4z$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(1-\frac{31}{8}y\right)x=y-72-4z$$

Tenglama standart shaklda.

$$\left(-\frac{31y}{8}+1\right)x=y-4z-72$$

Ikki tarafini 1-\frac{31}{8}y ga bo‘ling.

$$\frac{\left(-\frac{31y}{8}+1\right)x}{-\frac{31y}{8}+1}=\frac{y-4z-72}{-\frac{31y}{8}+1}$$

1-\frac{31}{8}y ga bo'lish 1-\frac{31}{8}y ga ko'paytirishni bekor qiladi.

$$x=\frac{y-4z-72}{-\frac{31y}{8}+1}$$

y-72-4z ni 1-\frac{31}{8}y ga bo'lish.

$$x=\frac{8\left(y-4z-72\right)}{8-31y}$$

y uchun yechish

$$\left\{\begin{matrix}y=\frac{8\left(x+4z+72\right)}{31x+8}\text{, }&x\neq -\frac{8}{31}\\y\in \mathrm{R}\text{, }&x=-\frac{8}{31}\text{ and }z=-\frac{556}{31}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{31}{8}x ni olish uchun 93x ni 24 ga bo‘ling.

$$y=x+72-\frac{31}{8}xy+4z$$

\frac{31}{8}xy ni ikki tarafga qo’shing.

$$y+\frac{31}{8}xy=x+72+4z$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(1+\frac{31}{8}x\right)y=x+72+4z$$

Tenglama standart shaklda.

$$\left(\frac{31x}{8}+1\right)y=x+4z+72$$

Ikki tarafini 1+\frac{31}{8}x ga bo‘ling.

$$\frac{\left(\frac{31x}{8}+1\right)y}{\frac{31x}{8}+1}=\frac{x+4z+72}{\frac{31x}{8}+1}$$

1+\frac{31}{8}x ga bo'lish 1+\frac{31}{8}x ga ko'paytirishni bekor qiladi.

$$y=\frac{x+4z+72}{\frac{31x}{8}+1}$$

x+72+4z ni 1+\frac{31}{8}x ga bo'lish.

$$y=\frac{8\left(x+4z+72\right)}{31x+8}$$