2/3(t-2)=3/4(t+2) eching

$$\frac { 2 } { 3 } ( t - 2 ) = \frac { 3 } { 4 } ( t + 2 )$$

t uchun yechish

$$t=-34$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{2}{3} ga t-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{2}{3}t+\frac{2}{3}\left(-2\right)=\frac{3}{4}\left(t+2\right)$$

\frac{2}{3}\left(-2\right) ni yagona kasrga aylantiring.

$$\frac{2}{3}t+\frac{2\left(-2\right)}{3}=\frac{3}{4}\left(t+2\right)$$

-4 hosil qilish uchun 2 va -2 ni ko'paytirish.

$$\frac{2}{3}t+\frac{-4}{3}=\frac{3}{4}\left(t+2\right)$$

\frac{-4}{3} kasri manfiy belgini olib tashlash bilan -\frac{4}{3} sifatida qayta yozilishi mumkin.

$$\frac{2}{3}t-\frac{4}{3}=\frac{3}{4}\left(t+2\right)$$

\frac{3}{4} ga t+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{2}{3}t-\frac{4}{3}=\frac{3}{4}t+\frac{3}{4}\times 2$$

\frac{3}{4}\times 2 ni yagona kasrga aylantiring.

$$\frac{2}{3}t-\frac{4}{3}=\frac{3}{4}t+\frac{3\times 2}{4}$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$\frac{2}{3}t-\frac{4}{3}=\frac{3}{4}t+\frac{6}{4}$$

\frac{6}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{3}t-\frac{4}{3}=\frac{3}{4}t+\frac{3}{2}$$

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

$$\frac{2}{3}t-\frac{4}{3}-\frac{3}{4}t=\frac{3}{2}$$

-\frac{1}{12}t ni olish uchun \frac{2}{3}t va -\frac{3}{4}t ni birlashtirish.

$$-\frac{1}{12}t-\frac{4}{3}=\frac{3}{2}$$

\frac{4}{3} ni ikki tarafga qo’shing.

$$-\frac{1}{12}t=\frac{3}{2}+\frac{4}{3}$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{3}{2} va \frac{4}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{1}{12}t=\frac{9}{6}+\frac{8}{6}$$

\frac{9}{6} va \frac{8}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{1}{12}t=\frac{9+8}{6}$$

17 olish uchun 9 va 8'ni qo'shing.

$$-\frac{1}{12}t=\frac{17}{6}$$

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

$$t=\frac{17}{6}\left(-12\right)$$

\frac{17}{6}\left(-12\right) ni yagona kasrga aylantiring.

$$t=\frac{17\left(-12\right)}{6}$$

-204 hosil qilish uchun 17 va -12 ni ko'paytirish.

$$t=\frac{-204}{6}$$

-34 ni olish uchun -204 ni 6 ga bo‘ling.

$$t=-34$$