3xz+2xy=3xz-48x eching

$$3 x z + 2 x y = 3 x z - 48 x$$

x uchun yechish

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=-24\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 3xz ni ayirish.

$$3xz+2xy-3xz=-48x$$

0 ni olish uchun 3xz va -3xz ni birlashtirish.

$$2xy=-48x$$

48x ni ikki tarafga qo’shing.

$$2xy+48x=0$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(2y+48\right)x=0$$

0 ni 2y+48 ga bo'lish.

$$x=0$$

y uchun yechish

$$\left\{\begin{matrix}\\y=-24\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 3xz ni ayirish.

$$2xy=3xz-48x-3xz$$

0 ni olish uchun 3xz va -3xz ni birlashtirish.

$$2xy=-48x$$

Ikki tarafini 2x ga bo‘ling.

$$\frac{2xy}{2x}=-\frac{48x}{2x}$$

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

$$y=-\frac{48x}{2x}$$

-48x ni 2x ga bo'lish.

$$y=-24$$