1/2(u-3)=2u-3/2 eching

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

u uchun yechish

$$u=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

$$\frac{1}{2}u+\frac{-3}{2}=2u-\frac{3}{2}$$

\frac{-3}{2} kasri manfiy belgini olib tashlash bilan -\frac{3}{2} sifatida qayta yozilishi mumkin.

$$\frac{1}{2}u-\frac{3}{2}=2u-\frac{3}{2}$$

Ikkala tarafdan 2u ni ayirish.

$$\frac{1}{2}u-\frac{3}{2}-2u=-\frac{3}{2}$$

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

$$-\frac{3}{2}u-\frac{3}{2}=-\frac{3}{2}$$

\frac{3}{2} ni ikki tarafga qo’shing.

$$-\frac{3}{2}u=-\frac{3}{2}+\frac{3}{2}$$

0 olish uchun -\frac{3}{2} va \frac{3}{2}'ni qo'shing.

$$-\frac{3}{2}u=0$$

Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. -\frac{3}{2} 0 ga teng bo‘lmasa, u 0 ga teng bo‘lishi kerak.

$$u=0$$