yx-5zx-52x-6z-74=0 eching

$$yx-5zx-52x-6z-74=0$$

x uchun yechish

$$\left\{\begin{matrix}x=\frac{2\left(3z+37\right)}{y-5z-52}\text{, }&y\neq 5z+52\\x\in \mathrm{R}\text{, }&z=-\frac{37}{3}\text{ and }y=-\frac{29}{3}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

6z ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$yx-5zx-52x-74=6z$$

74 ni ikki tarafga qo’shing.

$$yx-5zx-52x=6z+74$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(y-5z-52\right)x=6z+74$$

Ikki tarafini y-5z-52 ga bo‘ling.

$$\frac{\left(y-5z-52\right)x}{y-5z-52}=\frac{6z+74}{y-5z-52}$$

y-5z-52 ga bo'lish y-5z-52 ga ko'paytirishni bekor qiladi.

$$x=\frac{6z+74}{y-5z-52}$$

6z+74 ni y-5z-52 ga bo'lish.

$$x=\frac{2\left(3z+37\right)}{y-5z-52}$$

y uchun yechish

$$\left\{\begin{matrix}y=\frac{5xz+52x+6z+74}{x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&z=-\frac{37}{3}\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

5zx ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$yx-52x-6z-74=5zx$$

52x ni ikki tarafga qo’shing.

$$yx-6z-74=5zx+52x$$

6z ni ikki tarafga qo’shing.

$$yx-74=5zx+52x+6z$$

74 ni ikki tarafga qo’shing.

$$yx=5zx+52x+6z+74$$

Tenglama standart shaklda.

$$xy=5xz+52x+6z+74$$

Ikki tarafini x ga bo‘ling.

$$\frac{xy}{x}=\frac{5xz+52x+6z+74}{x}$$

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

$$y=\frac{5xz+52x+6z+74}{x}$$