(xquady-zquadz+3)+(yquad4quad3)=(4quad8quad16) eching

$$( x \quad y - z \quad z + 3 ) + ( y \quad 4 \quad 3 ) = ( 4 \quad 8 \quad 16 )$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}x=-\frac{3y_{4}-z^{2}-509}{y}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&y_{4}=\frac{z^{2}+509}{3}\text{ and }y=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

z^{2} hosil qilish uchun z va z ni ko'paytirish.

$$xy-z^{2}+3+y_{4}\times 3=4\times 8\times 16$$

32 hosil qilish uchun 4 va 8 ni ko'paytirish.

$$xy-z^{2}+3+y_{4}\times 3=32\times 16$$

512 hosil qilish uchun 32 va 16 ni ko'paytirish.

$$xy-z^{2}+3+y_{4}\times 3=512$$

z^{2} ni ikki tarafga qo’shing.

$$xy+3+y_{4}\times 3=512+z^{2}$$

Ikkala tarafdan 3 ni ayirish.

$$xy+y_{4}\times 3=512+z^{2}-3$$

509 olish uchun 512 dan 3 ni ayirish.

$$xy+y_{4}\times 3=509+z^{2}$$

Ikkala tarafdan y_{4}\times 3 ni ayirish.

$$xy=509+z^{2}-y_{4}\times 3$$

-3 hosil qilish uchun -1 va 3 ni ko'paytirish.

$$xy=509+z^{2}-3y_{4}$$

Tenglama standart shaklda.

$$yx=509+z^{2}-3y_{4}$$

Ikki tarafini y ga bo‘ling.

$$\frac{yx}{y}=\frac{509+z^{2}-3y_{4}}{y}$$

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

$$x=\frac{509+z^{2}-3y_{4}}{y}$$

y uchun yechish (complex solution)

$$\left\{\begin{matrix}y=-\frac{3y_{4}-z^{2}-509}{x}\text{, }&x\neq 0\\y\in \mathrm{C}\text{, }&y_{4}=\frac{z^{2}+509}{3}\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

z^{2} hosil qilish uchun z va z ni ko'paytirish.

$$xy-z^{2}+3+y_{4}\times 3=4\times 8\times 16$$

32 hosil qilish uchun 4 va 8 ni ko'paytirish.

$$xy-z^{2}+3+y_{4}\times 3=32\times 16$$

512 hosil qilish uchun 32 va 16 ni ko'paytirish.

$$xy-z^{2}+3+y_{4}\times 3=512$$

z^{2} ni ikki tarafga qo’shing.

$$xy+3+y_{4}\times 3=512+z^{2}$$

Ikkala tarafdan 3 ni ayirish.

$$xy+y_{4}\times 3=512+z^{2}-3$$

509 olish uchun 512 dan 3 ni ayirish.

$$xy+y_{4}\times 3=509+z^{2}$$

Ikkala tarafdan y_{4}\times 3 ni ayirish.

$$xy=509+z^{2}-y_{4}\times 3$$

-3 hosil qilish uchun -1 va 3 ni ko'paytirish.

$$xy=509+z^{2}-3y_{4}$$

Ikki tarafini x ga bo‘ling.

$$\frac{xy}{x}=\frac{509+z^{2}-3y_{4}}{x}$$

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

$$y=\frac{509+z^{2}-3y_{4}}{x}$$

x uchun yechish

$$\left\{\begin{matrix}x=-\frac{3y_{4}-z^{2}-509}{y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&y_{4}=\frac{z^{2}+509}{3}\text{ and }y=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

z^{2} hosil qilish uchun z va z ni ko'paytirish.

$$xy-z^{2}+3+y_{4}\times 3=4\times 8\times 16$$

32 hosil qilish uchun 4 va 8 ni ko'paytirish.

$$xy-z^{2}+3+y_{4}\times 3=32\times 16$$

512 hosil qilish uchun 32 va 16 ni ko'paytirish.

$$xy-z^{2}+3+y_{4}\times 3=512$$

z^{2} ni ikki tarafga qo’shing.

$$xy+3+y_{4}\times 3=512+z^{2}$$

Ikkala tarafdan 3 ni ayirish.

$$xy+y_{4}\times 3=512+z^{2}-3$$

509 olish uchun 512 dan 3 ni ayirish.

$$xy+y_{4}\times 3=509+z^{2}$$

Ikkala tarafdan y_{4}\times 3 ni ayirish.

$$xy=509+z^{2}-y_{4}\times 3$$

-3 hosil qilish uchun -1 va 3 ni ko'paytirish.

$$xy=509+z^{2}-3y_{4}$$

Tenglama standart shaklda.

$$yx=509+z^{2}-3y_{4}$$

Ikki tarafini y ga bo‘ling.

$$\frac{yx}{y}=\frac{509+z^{2}-3y_{4}}{y}$$

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

$$x=\frac{509+z^{2}-3y_{4}}{y}$$

y uchun yechish

$$\left\{\begin{matrix}y=-\frac{3y_{4}-z^{2}-509}{x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&y_{4}=\frac{z^{2}+509}{3}\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

z^{2} hosil qilish uchun z va z ni ko'paytirish.

$$xy-z^{2}+3+y_{4}\times 3=4\times 8\times 16$$

32 hosil qilish uchun 4 va 8 ni ko'paytirish.

$$xy-z^{2}+3+y_{4}\times 3=32\times 16$$

512 hosil qilish uchun 32 va 16 ni ko'paytirish.

$$xy-z^{2}+3+y_{4}\times 3=512$$

z^{2} ni ikki tarafga qo’shing.

$$xy+3+y_{4}\times 3=512+z^{2}$$

Ikkala tarafdan 3 ni ayirish.

$$xy+y_{4}\times 3=512+z^{2}-3$$

509 olish uchun 512 dan 3 ni ayirish.

$$xy+y_{4}\times 3=509+z^{2}$$

Ikkala tarafdan y_{4}\times 3 ni ayirish.

$$xy=509+z^{2}-y_{4}\times 3$$

-3 hosil qilish uchun -1 va 3 ni ko'paytirish.

$$xy=509+z^{2}-3y_{4}$$

Ikki tarafini x ga bo‘ling.

$$\frac{xy}{x}=\frac{509+z^{2}-3y_{4}}{x}$$

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

$$y=\frac{509+z^{2}-3y_{4}}{x}$$