e/x-pi/y=A eching

$$\frac { e } { x } - \frac { \pi } { y } = A$$

A uchun yechish

$$A=\frac{ey-\pi x}{xy}$$

$$x\neq 0\text{ and }y\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini xy ga, x,y ning eng kichik karralisiga ko‘paytiring.

$$ye-x\pi =Axy$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$Axy=ye-x\pi$$

Shartlarni qayta saralash.

$$Axy=-\pi x+ey$$

Tenglama standart shaklda.

$$xyA=ey-\pi x$$

Ikki tarafini xy ga bo‘ling.

$$\frac{xyA}{xy}=\frac{ey-\pi x}{xy}$$

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

$$A=\frac{ey-\pi x}{xy}$$

ey-\pi x ni xy ga bo'lish.

$$A=\frac{e}{x}-\frac{\pi }{y}$$

x uchun yechish

$$x=\frac{ey}{Ay+\pi }$$

$$y\neq 0\text{ and }\left(A=0\text{ or }y\neq -\frac{\pi }{A}\right)$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$ye-x\pi =Axy$$

Ikkala tarafdan Axy ni ayirish.

$$ye-x\pi -Axy=0$$

Ikkala tarafdan ye ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-x\pi -Axy=-ye$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-\pi -Ay\right)x=-ye$$

Tenglama standart shaklda.

$$\left(-Ay-\pi \right)x=-ey$$

Ikki tarafini -\pi -yA ga bo‘ling.

$$\frac{\left(-Ay-\pi \right)x}{-Ay-\pi }=-\frac{ey}{-Ay-\pi }$$

-\pi -yA ga bo'lish -\pi -yA ga ko'paytirishni bekor qiladi.

$$x=-\frac{ey}{-Ay-\pi }$$

-ye ni -\pi -yA ga bo'lish.

$$x=\frac{ey}{Ay+\pi }$$

x qiymati 0 teng bo‘lmaydi.

$$x=\frac{ey}{Ay+\pi }\text{, }x\neq 0$$