15y=6*(5y-2/5)+1 eching

$$15 y = 6 \cdot ( 5 y - \frac { 2 } { 5 } ) + 1$$

y uchun yechish

$$y=\frac{7}{75}\approx 0,093333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$15y=30y+6\left(-\frac{2}{5}\right)+1$$

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

$$15y=30y+\frac{6\left(-2\right)}{5}+1$$

-12 hosil qilish uchun 6 va -2 ni ko'paytirish.

$$15y=30y+\frac{-12}{5}+1$$

\frac{-12}{5} kasri manfiy belgini olib tashlash bilan -\frac{12}{5} sifatida qayta yozilishi mumkin.

$$15y=30y-\frac{12}{5}+1$$

1 ni \frac{5}{5} kasrga o‘giring.

$$15y=30y-\frac{12}{5}+\frac{5}{5}$$

-\frac{12}{5} va \frac{5}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$15y=30y+\frac{-12+5}{5}$$

-7 olish uchun -12 va 5'ni qo'shing.

$$15y=30y-\frac{7}{5}$$

Ikkala tarafdan 30y ni ayirish.

$$15y-30y=-\frac{7}{5}$$

-15y ni olish uchun 15y va -30y ni birlashtirish.

$$-15y=-\frac{7}{5}$$

Ikki tarafini -15 ga bo‘ling.

$$y=\frac{-\frac{7}{5}}{-15}$$

\frac{-\frac{7}{5}}{-15} ni yagona kasrga aylantiring.

$$y=\frac{-7}{5\left(-15\right)}$$

-75 hosil qilish uchun 5 va -15 ni ko'paytirish.

$$y=\frac{-7}{-75}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-7}{-75} kasrini \frac{7}{75} ga soddalashtirish mumkin.

$$y=\frac{7}{75}$$