7(3w+1/4)-3w=1 eching

$$7 ( 3 w + \frac { 1 } { 4 } ) - 3 w = 1$$

w uchun yechish

$$w=-\frac{1}{24}\approx -0,041666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

7 ga 3w+\frac{1}{4} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$21w+7\times \frac{1}{4}-3w=1$$

\frac{7}{4} hosil qilish uchun 7 va \frac{1}{4} ni ko'paytirish.

$$21w+\frac{7}{4}-3w=1$$

18w ni olish uchun 21w va -3w ni birlashtirish.

$$18w+\frac{7}{4}=1$$

Ikkala tarafdan \frac{7}{4} ni ayirish.

$$18w=1-\frac{7}{4}$$

1 ni \frac{4}{4} kasrga o‘giring.

$$18w=\frac{4}{4}-\frac{7}{4}$$

\frac{4}{4} va \frac{7}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$18w=\frac{4-7}{4}$$

-3 olish uchun 4 dan 7 ni ayirish.

$$18w=-\frac{3}{4}$$

Ikki tarafini 18 ga bo‘ling.

$$w=\frac{-\frac{3}{4}}{18}$$

\frac{-\frac{3}{4}}{18} ni yagona kasrga aylantiring.

$$w=\frac{-3}{4\times 18}$$

72 hosil qilish uchun 4 va 18 ni ko'paytirish.

$$w=\frac{-3}{72}$$

\frac{-3}{72} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$w=-\frac{1}{24}$$