2/3left(y-1right)=1/6 eching

$$\frac{ 2 }{ 3 } \left( y-1 \right) = \frac{ 1 }{ 6 }$$

y uchun yechish

$$y = \frac{5}{4} = 1\frac{1}{4} = 1,25$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikki tarafini \frac{3}{2} va teskari kasri \frac{2}{3} ga ko‘paytiring.

$$y-1=\frac{1}{6}\times \frac{3}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{6} ni \frac{3}{2} ga ko‘paytiring.

$$y-1=\frac{1\times 3}{6\times 2}$$

\frac{1\times 3}{6\times 2} kasridagi ko‘paytirishlarni bajaring.

$$y-1=\frac{3}{12}$$

\frac{3}{12} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$y-1=\frac{1}{4}$$

1 ni ikki tarafga qo’shing.

$$y=\frac{1}{4}+1$$

1 ni \frac{4}{4} kasrga o‘giring.

$$y=\frac{1}{4}+\frac{4}{4}$$

\frac{1}{4} va \frac{4}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$y=\frac{1+4}{4}$$

5 olish uchun 1 va 4'ni qo'shing.

$$y=\frac{5}{4}$$