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

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

u uchun yechish

$$u=-\frac{2}{3}\approx -0,666666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

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

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

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

Ikkala tarafdan 2u ni ayirish.

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

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

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

\frac{3}{2} ni ikki tarafga qo’shing.

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

-\frac{1}{2} va \frac{3}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

2 olish uchun -1 va 3'ni qo'shing.

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

1 ni olish uchun 2 ni 2 ga bo‘ling.

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

Ikki tarafini -\frac{2}{3} va teskari kasri -\frac{3}{2} ga ko‘paytiring.

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

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

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