5x^3pi/6=4x/3y eching

$$\frac { 5 x ^ { 3 } \pi } { 6 } = \frac { 4 x } { 3 y }$$

y uchun yechish

$$\left\{\begin{matrix}y=\frac{8}{5\pi x^{2}}\text{, }&x\neq 0\\y\neq 0\text{, }&x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

y qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 6y ga, 6,3y ning eng kichik karralisiga ko‘paytiring.

$$y\times 5x^{3}\pi =2\times 4x$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$y\times 5x^{3}\pi =8x$$

Tenglama standart shaklda.

$$5\pi x^{3}y=8x$$

Ikki tarafini 5x^{3}\pi ga bo‘ling.

$$\frac{5\pi x^{3}y}{5\pi x^{3}}=\frac{8x}{5\pi x^{3}}$$

5x^{3}\pi ga bo'lish 5x^{3}\pi ga ko'paytirishni bekor qiladi.

$$y=\frac{8x}{5\pi x^{3}}$$

8x ni 5x^{3}\pi ga bo'lish.

$$y=\frac{8}{5\pi x^{2}}$$

y qiymati 0 teng bo‘lmaydi.

$$y=\frac{8}{5\pi x^{2}}\text{, }y\neq 0$$

x uchun yechish (complex solution)

$$x=\frac{2\sqrt{10}\left(\pi y\right)^{-\frac{1}{2}}}{5}$$

$$x=0$$

$$x=-\frac{2\sqrt{10}\left(\pi y\right)^{-\frac{1}{2}}}{5}\text{, }y\neq 0$$

x uchun yechish

$$\left\{\begin{matrix}x=0\text{, }&y\neq 0\\x=\frac{2\sqrt{\frac{10}{\pi y}}}{5}\text{; }x=-\frac{2\sqrt{\frac{10}{\pi y}}}{5}\text{, }&y>0\end{matrix}\right,$$