(n-2)*180^circ/n*5=360 eching

$$\frac { ( n - 2 ) \times 180 ^ { \circ } } { n } \times 5 = 360$$

n uchun yechish

$$n = \frac{10}{3} = 3\frac{1}{3} \approx 3,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikki tarafini 5 ga bo‘ling.

$$\frac{\left(n-2\right)\times 180}{n}=\frac{360}{5}$$

72 ni olish uchun 360 ni 5 ga bo‘ling.

$$\frac{\left(n-2\right)\times 180}{n}=72$$

n qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini n ga ko'paytirish.

$$\left(n-2\right)\times 180=72n$$

n-2 ga 180 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$180n-360=72n$$

Ikkala tarafdan 72n ni ayirish.

$$180n-360-72n=0$$

108n ni olish uchun 180n va -72n ni birlashtirish.

$$108n-360=0$$

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

$$108n=360$$

Ikki tarafini 108 ga bo‘ling.

$$n=\frac{360}{108}$$

\frac{360}{108} ulushini 36 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$n=\frac{10}{3}$$