x+(31/4-21/3)=3-1/4 eching

$$x + ( 3 \frac { 1 } { 4 } - 2 \frac { 1 } { 3 } ) = 3 - \frac { 1 } { 4 }$$

x uchun yechish

$$x = \frac{11}{6} = 1\frac{5}{6} \approx 1,833333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 4,3 ning eng kichik karralisiga ko‘paytiring.

$$12x+3\left(3\times 4+1\right)-4\left(2\times 3+1\right)=36-3$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$12x+3\left(12+1\right)-4\left(2\times 3+1\right)=36-3$$

13 olish uchun 12 va 1'ni qo'shing.

$$12x+3\times 13-4\left(2\times 3+1\right)=36-3$$

39 hosil qilish uchun 3 va 13 ni ko'paytirish.

$$12x+39-4\left(2\times 3+1\right)=36-3$$

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

$$12x+39-4\left(6+1\right)=36-3$$

7 olish uchun 6 va 1'ni qo'shing.

$$12x+39-4\times 7=36-3$$

-28 hosil qilish uchun -4 va 7 ni ko'paytirish.

$$12x+39-28=36-3$$

11 olish uchun 39 dan 28 ni ayirish.

$$12x+11=36-3$$

33 olish uchun 36 dan 3 ni ayirish.

$$12x+11=33$$

Ikkala tarafdan 11 ni ayirish.

$$12x=33-11$$

22 olish uchun 33 dan 11 ni ayirish.

$$12x=22$$

Ikki tarafini 12 ga bo‘ling.

$$x=\frac{22}{12}$$

\frac{22}{12} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{11}{6}$$