9t-3/4(5t-1)=5t+5/8 eching

$$9 t - \frac { 3 } { 4 } ( 5 t - 1 ) = 5 t + \frac { 5 } { 8 }$$

t uchun yechish

$$t=-\frac{1}{2}=-0,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-\frac{3}{4} ga 5t-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9t-\frac{3}{4}\times 5t-\frac{3}{4}\left(-1\right)=5t+\frac{5}{8}$$

-\frac{3}{4}\times 5 ni yagona kasrga aylantiring.

$$9t+\frac{-3\times 5}{4}t-\frac{3}{4}\left(-1\right)=5t+\frac{5}{8}$$

-15 hosil qilish uchun -3 va 5 ni ko'paytirish.

$$9t+\frac{-15}{4}t-\frac{3}{4}\left(-1\right)=5t+\frac{5}{8}$$

\frac{-15}{4} kasri manfiy belgini olib tashlash bilan -\frac{15}{4} sifatida qayta yozilishi mumkin.

$$9t-\frac{15}{4}t-\frac{3}{4}\left(-1\right)=5t+\frac{5}{8}$$

\frac{3}{4} hosil qilish uchun -\frac{3}{4} va -1 ni ko'paytirish.

$$9t-\frac{15}{4}t+\frac{3}{4}=5t+\frac{5}{8}$$

\frac{21}{4}t ni olish uchun 9t va -\frac{15}{4}t ni birlashtirish.

$$\frac{21}{4}t+\frac{3}{4}=5t+\frac{5}{8}$$

Ikkala tarafdan 5t ni ayirish.

$$\frac{21}{4}t+\frac{3}{4}-5t=\frac{5}{8}$$

\frac{1}{4}t ni olish uchun \frac{21}{4}t va -5t ni birlashtirish.

$$\frac{1}{4}t+\frac{3}{4}=\frac{5}{8}$$

Ikkala tarafdan \frac{3}{4} ni ayirish.

$$\frac{1}{4}t=\frac{5}{8}-\frac{3}{4}$$

8 va 4 ning eng kichik umumiy karralisi 8 ga teng. \frac{5}{8} va \frac{3}{4} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{4}t=\frac{5}{8}-\frac{6}{8}$$

\frac{5}{8} va \frac{6}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{4}t=\frac{5-6}{8}$$

-1 olish uchun 5 dan 6 ni ayirish.

$$\frac{1}{4}t=-\frac{1}{8}$$

Ikki tarafini 4 va teskari kasri \frac{1}{4} ga ko‘paytiring.

$$t=-\frac{1}{8}\times 4$$

-\frac{1}{8}\times 4 ni yagona kasrga aylantiring.

$$t=\frac{-4}{8}$$

\frac{-4}{8} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$t=-\frac{1}{2}$$