2(7/3-5/3y)+7y=12 eching

$$2 ( \frac { 7 } { 3 } - \frac { 5 } { 3 } y ) + 7 y = 12$$

y uchun yechish

$$y=2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 ga \frac{7}{3}-\frac{5}{3}y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2\times \frac{7}{3}+2\left(-\frac{5}{3}\right)y+7y=12$$

2\times \frac{7}{3} ni yagona kasrga aylantiring.

$$\frac{2\times 7}{3}+2\left(-\frac{5}{3}\right)y+7y=12$$

14 hosil qilish uchun 2 va 7 ni ko'paytirish.

$$\frac{14}{3}+2\left(-\frac{5}{3}\right)y+7y=12$$

2\left(-\frac{5}{3}\right) ni yagona kasrga aylantiring.

$$\frac{14}{3}+\frac{2\left(-5\right)}{3}y+7y=12$$

-10 hosil qilish uchun 2 va -5 ni ko'paytirish.

$$\frac{14}{3}+\frac{-10}{3}y+7y=12$$

\frac{-10}{3} kasri manfiy belgini olib tashlash bilan -\frac{10}{3} sifatida qayta yozilishi mumkin.

$$\frac{14}{3}-\frac{10}{3}y+7y=12$$

\frac{11}{3}y ni olish uchun -\frac{10}{3}y va 7y ni birlashtirish.

$$\frac{14}{3}+\frac{11}{3}y=12$$

Ikkala tarafdan \frac{14}{3} ni ayirish.

$$\frac{11}{3}y=12-\frac{14}{3}$$

12 ni \frac{36}{3} kasrga o‘giring.

$$\frac{11}{3}y=\frac{36}{3}-\frac{14}{3}$$

\frac{36}{3} va \frac{14}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{11}{3}y=\frac{36-14}{3}$$

22 olish uchun 36 dan 14 ni ayirish.

$$\frac{11}{3}y=\frac{22}{3}$$

Ikki tarafini \frac{3}{11} va teskari kasri \frac{11}{3} ga ko‘paytiring.

$$y=\frac{22}{3}\times \frac{3}{11}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{22}{3} ni \frac{3}{11} ga ko‘paytiring.

$$y=\frac{22\times 3}{3\times 11}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$y=\frac{22}{11}$$

2 ni olish uchun 22 ni 11 ga bo‘ling.

$$y=2$$