1-3x/5-2-x/15=3 eching

$$\frac { 1 - 3 x } { 5 } - \frac { 2 - x } { 15 } = 3$$

x uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3\left(1-3x\right)-\left(2-x\right)=45$$

3 ga 1-3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3-9x-\left(2-x\right)=45$$

2-x teskarisini topish uchun har birining teskarisini toping.

$$3-9x-2-\left(-x\right)=45$$

-x ning teskarisi x ga teng.

$$3-9x-2+x=45$$

1 olish uchun 3 dan 2 ni ayirish.

$$1-9x+x=45$$

-8x ni olish uchun -9x va x ni birlashtirish.

$$1-8x=45$$

Ikkala tarafdan 1 ni ayirish.

$$-8x=45-1$$

44 olish uchun 45 dan 1 ni ayirish.

$$-8x=44$$

Ikki tarafini -8 ga bo‘ling.

$$x=\frac{44}{-8}$$

\frac{44}{-8} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{11}{2}$$