1/3(y-3)-1/4(y-4)=1/6 eching

$$\frac { 1 } { 3 } ( y - 3 ) - \frac { 1 } { 4 } ( y - 4 ) = \frac { 1 } { 6 }$$

y uchun yechish

$$y=2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{1}{3} ga y-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{3}y+\frac{1}{3}\left(-3\right)-\frac{1}{4}\left(y-4\right)=\frac{1}{6}$$

\frac{-3}{3} hosil qilish uchun \frac{1}{3} va -3 ni ko'paytirish.

$$\frac{1}{3}y+\frac{-3}{3}-\frac{1}{4}\left(y-4\right)=\frac{1}{6}$$

-1 ni olish uchun -3 ni 3 ga bo‘ling.

$$\frac{1}{3}y-1-\frac{1}{4}\left(y-4\right)=\frac{1}{6}$$

-\frac{1}{4} ga y-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{3}y-1-\frac{1}{4}y-\frac{1}{4}\left(-4\right)=\frac{1}{6}$$

-\frac{1}{4}\left(-4\right) ni yagona kasrga aylantiring.

$$\frac{1}{3}y-1-\frac{1}{4}y+\frac{-\left(-4\right)}{4}=\frac{1}{6}$$

4 hosil qilish uchun -1 va -4 ni ko'paytirish.

$$\frac{1}{3}y-1-\frac{1}{4}y+\frac{4}{4}=\frac{1}{6}$$

1 ni olish uchun 4 ni 4 ga bo‘ling.

$$\frac{1}{3}y-1-\frac{1}{4}y+1=\frac{1}{6}$$

\frac{1}{12}y ni olish uchun \frac{1}{3}y va -\frac{1}{4}y ni birlashtirish.

$$\frac{1}{12}y-1+1=\frac{1}{6}$$

0 olish uchun -1 va 1'ni qo'shing.

$$\frac{1}{12}y=\frac{1}{6}$$

Ikki tarafini 12 va teskari kasri \frac{1}{12} ga ko‘paytiring.

$$y=\frac{1}{6}\times 12$$

\frac{12}{6} hosil qilish uchun \frac{1}{6} va 12 ni ko'paytirish.

$$y=\frac{12}{6}$$

2 ni olish uchun 12 ni 6 ga bo‘ling.

$$y=2$$