3/4*(u-3)=1/3*(2u-5) eching

$$\frac { 3 } { 4 } \cdot ( u - 3 ) = \frac { 1 } { 3 } \cdot ( 2 u - 5 )$$

u uchun yechish

$$u=7$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{3}{4} ga u-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{3}{4}u+\frac{3}{4}\left(-3\right)=\frac{1}{3}\left(2u-5\right)$$

\frac{3}{4}\left(-3\right) ni yagona kasrga aylantiring.

$$\frac{3}{4}u+\frac{3\left(-3\right)}{4}=\frac{1}{3}\left(2u-5\right)$$

-9 hosil qilish uchun 3 va -3 ni ko'paytirish.

$$\frac{3}{4}u+\frac{-9}{4}=\frac{1}{3}\left(2u-5\right)$$

\frac{-9}{4} kasri manfiy belgini olib tashlash bilan -\frac{9}{4} sifatida qayta yozilishi mumkin.

$$\frac{3}{4}u-\frac{9}{4}=\frac{1}{3}\left(2u-5\right)$$

\frac{1}{3} ga 2u-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{3}{4}u-\frac{9}{4}=\frac{1}{3}\times 2u+\frac{1}{3}\left(-5\right)$$

\frac{2}{3} hosil qilish uchun \frac{1}{3} va 2 ni ko'paytirish.

$$\frac{3}{4}u-\frac{9}{4}=\frac{2}{3}u+\frac{1}{3}\left(-5\right)$$

\frac{-5}{3} hosil qilish uchun \frac{1}{3} va -5 ni ko'paytirish.

$$\frac{3}{4}u-\frac{9}{4}=\frac{2}{3}u+\frac{-5}{3}$$

\frac{-5}{3} kasri manfiy belgini olib tashlash bilan -\frac{5}{3} sifatida qayta yozilishi mumkin.

$$\frac{3}{4}u-\frac{9}{4}=\frac{2}{3}u-\frac{5}{3}$$

Ikkala tarafdan \frac{2}{3}u ni ayirish.

$$\frac{3}{4}u-\frac{9}{4}-\frac{2}{3}u=-\frac{5}{3}$$

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

$$\frac{1}{12}u-\frac{9}{4}=-\frac{5}{3}$$

\frac{9}{4} ni ikki tarafga qo’shing.

$$\frac{1}{12}u=-\frac{5}{3}+\frac{9}{4}$$

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. -\frac{5}{3} va \frac{9}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{12}u=-\frac{20}{12}+\frac{27}{12}$$

-\frac{20}{12} va \frac{27}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{12}u=\frac{-20+27}{12}$$

7 olish uchun -20 va 27'ni qo'shing.

$$\frac{1}{12}u=\frac{7}{12}$$

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

$$u=\frac{7}{12}\times 12$$

12 va 12 ni qisqartiring.

$$u=7$$