96-2(45y+3)=12(2y-3)+3y eching

$$96 - 2 ( 45 y + 3 ) = 12 ( 2 y - 3 ) + 3 y$$

y uchun yechish

$$y = \frac{14}{13} = 1\frac{1}{13} \approx 1,076923077$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-2 ga 45y+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$96-90y-6=12\left(2y-3\right)+3y$$

90 olish uchun 96 dan 6 ni ayirish.

$$90-90y=12\left(2y-3\right)+3y$$

12 ga 2y-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$90-90y=24y-36+3y$$

27y ni olish uchun 24y va 3y ni birlashtirish.

$$90-90y=27y-36$$

Ikkala tarafdan 27y ni ayirish.

$$90-90y-27y=-36$$

-117y ni olish uchun -90y va -27y ni birlashtirish.

$$90-117y=-36$$

Ikkala tarafdan 90 ni ayirish.

$$-117y=-36-90$$

-126 olish uchun -36 dan 90 ni ayirish.

$$-117y=-126$$

Ikki tarafini -117 ga bo‘ling.

$$y=\frac{-126}{-117}$$

\frac{-126}{-117} ulushini -9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$y=\frac{14}{13}$$