15/6+2/5x=11/15x-2 eching

$$1 \frac { 5 } { 6 } + \frac { 2 } { 5 } x = \frac { 11 } { 15 } x - 2$$

x uchun yechish

$$x = \frac{23}{2} = 11\frac{1}{2} = 11,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 30 ga, 6,5,15 ning eng kichik karralisiga ko‘paytiring.

$$5\left(1\times 6+5\right)+12x=22x-60$$

6 hosil qilish uchun 1 va 6 ni ko'paytirish.

$$5\left(6+5\right)+12x=22x-60$$

11 olish uchun 6 va 5'ni qo'shing.

$$5\times 11+12x=22x-60$$

55 hosil qilish uchun 5 va 11 ni ko'paytirish.

$$55+12x=22x-60$$

Ikkala tarafdan 22x ni ayirish.

$$55+12x-22x=-60$$

-10x ni olish uchun 12x va -22x ni birlashtirish.

$$55-10x=-60$$

Ikkala tarafdan 55 ni ayirish.

$$-10x=-60-55$$

-115 olish uchun -60 dan 55 ni ayirish.

$$-10x=-115$$

Ikki tarafini -10 ga bo‘ling.

$$x=\frac{-115}{-10}$$

\frac{-115}{-10} ulushini -5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{23}{2}$$