1/2x+(6-x)=11/4 eching

$$\frac{ 1 }{ 2 } x+(6-x) = \frac{ 11 }{ 4 }$$

x uchun yechish

$$x = \frac{13}{2} = 6\frac{1}{2} = 6,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-\frac{1}{2}x+6=\frac{11}{4}$$

Ikkala tarafdan 6 ni ayirish.

$$-\frac{1}{2}x=\frac{11}{4}-6$$

6 ni \frac{24}{4} kasrga o‘giring.

$$-\frac{1}{2}x=\frac{11}{4}-\frac{24}{4}$$

\frac{11}{4} va \frac{24}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{1}{2}x=\frac{11-24}{4}$$

-13 olish uchun 11 dan 24 ni ayirish.

$$-\frac{1}{2}x=-\frac{13}{4}$$

Ikki tarafini -2 va teskari kasri -\frac{1}{2} ga ko‘paytiring.

$$x=-\frac{13}{4}\left(-2\right)$$

-\frac{13}{4}\left(-2\right) ni yagona kasrga aylantiring.

$$x=\frac{-13\left(-2\right)}{4}$$

26 hosil qilish uchun -13 va -2 ni ko'paytirish.

$$x=\frac{26}{4}$$

\frac{26}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{13}{2}$$