2x+1/4-10x+1/12=2x-1/3+1 eching

$$\frac { 2 x + 1 } { 4 } - \frac { 10 x + 1 } { 12 } = \frac { 2 x - 1 } { 3 } + 1$$

x uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3\left(2x+1\right)-\left(10x+1\right)=4\left(2x-1\right)+12$$

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

$$6x+3-\left(10x+1\right)=4\left(2x-1\right)+12$$

10x+1 teskarisini topish uchun har birining teskarisini toping.

$$6x+3-10x-1=4\left(2x-1\right)+12$$

-4x ni olish uchun 6x va -10x ni birlashtirish.

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

2 olish uchun 3 dan 1 ni ayirish.

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

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

$$-4x+2=8x-4+12$$

8 olish uchun -4 va 12'ni qo'shing.

$$-4x+2=8x+8$$

Ikkala tarafdan 8x ni ayirish.

$$-4x+2-8x=8$$

-12x ni olish uchun -4x va -8x ni birlashtirish.

$$-12x+2=8$$

Ikkala tarafdan 2 ni ayirish.

$$-12x=8-2$$

6 olish uchun 8 dan 2 ni ayirish.

$$-12x=6$$

Ikki tarafini -12 ga bo‘ling.

$$x=\frac{6}{-12}$$

\frac{6}{-12} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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