1/3*(2x-1)+x/2=1/6+2x/3 eching

$$\frac { 1 } { 3 } \cdot ( 2 x - 1 ) + \frac { x } { 2 } = \frac { 1 } { 6 } + \frac { 2 x } { 3 }$$

x uchun yechish

$$x=1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

2 ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x-2+3x=1+2\times 2x$$

7x ni olish uchun 4x va 3x ni birlashtirish.

$$7x-2=1+2\times 2x$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$7x-2=1+4x$$

Ikkala tarafdan 4x ni ayirish.

$$7x-2-4x=1$$

3x ni olish uchun 7x va -4x ni birlashtirish.

$$3x-2=1$$

2 ni ikki tarafga qo’shing.

$$3x=1+2$$

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

$$3x=3$$

Ikki tarafini 3 ga bo‘ling.

$$x=\frac{3}{3}$$

1 ni olish uchun 3 ni 3 ga bo‘ling.

$$x=1$$