x/3-2pi=2(x-pi/4) eching

$$\frac { x } { 3 } - 2 \pi = 2 ( x - \frac { \pi } { 4 } )$$

x uchun yechish

$$x = -\frac{9 \pi}{10} \approx -2,827433388$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 3,4 ning eng kichik karralisiga ko‘paytiring.

$$4x-24\pi =24\left(x-\frac{\pi }{4}\right)$$

24 ga x-\frac{\pi }{4} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x-24\pi =24x+24\left(-\frac{\pi }{4}\right)$$

24 va 4 ichida eng katta umumiy 4 faktorini bekor qiling.

$$4x-24\pi =24x-6\pi$$

Ikkala tarafdan 24x ni ayirish.

$$4x-24\pi -24x=-6\pi$$

-20x ni olish uchun 4x va -24x ni birlashtirish.

$$-20x-24\pi =-6\pi$$

24\pi ni ikki tarafga qo’shing.

$$-20x=-6\pi +24\pi$$

18\pi ni olish uchun -6\pi va 24\pi ni birlashtirish.

$$-20x=18\pi$$

Ikki tarafini -20 ga bo‘ling.

$$\frac{-20x}{-20}=\frac{18\pi }{-20}$$

-20 ga bo'lish -20 ga ko'paytirishni bekor qiladi.

$$x=\frac{18\pi }{-20}$$

18\pi ni -20 ga bo'lish.

$$x=-\frac{9\pi }{10}$$