3x+1/2=41/3x-1/6 eching

$$3 x + \frac { 1 } { 2 } = 4 \frac { 1 } { 3 } x - \frac { 1 } { 6 }$$

x uchun yechish

$$x=\frac{1}{2}=0,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga, 2,3,6 ning eng kichik karralisiga ko‘paytiring.

$$18x+3=2\left(4\times 3+1\right)x-1$$

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

$$18x+3=2\left(12+1\right)x-1$$

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

$$18x+3=2\times 13x-1$$

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

$$18x+3=26x-1$$

Ikkala tarafdan 26x ni ayirish.

$$18x+3-26x=-1$$

-8x ni olish uchun 18x va -26x ni birlashtirish.

$$-8x+3=-1$$

Ikkala tarafdan 3 ni ayirish.

$$-8x=-1-3$$

-4 olish uchun -1 dan 3 ni ayirish.

$$-8x=-4$$

Ikki tarafini -8 ga bo‘ling.

$$x=\frac{-4}{-8}$$

\frac{-4}{-8} ulushini -4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{1}{2}$$