5a-1/6-3a-1/4=1/12*(a+1) eching

$$\frac { 5 a - 1 } { 6 } - \frac { 3 a - 1 } { 4 } = \frac { 1 } { 12 } \cdot ( a + 1 )$$

a uchun yechish (complex solution)

$$a\in \mathrm{C}$$

Yechim qadamlari

Tenglamaning ikkala tarafini 12 ga, 6,4,12 ning eng kichik karralisiga ko‘paytiring.

$$2\left(5a-1\right)-3\left(3a-1\right)=1\left(a+1\right)$$

2 ga 5a-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10a-2-3\left(3a-1\right)=1\left(a+1\right)$$

-3 ga 3a-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10a-2-9a+3=1\left(a+1\right)$$

a ni olish uchun 10a va -9a ni birlashtirish.

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

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

$$a+1=1\left(a+1\right)$$

1 ga a+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$a+1=a+1$$

Ikkala tarafdan a ni ayirish.

$$a+1-a=1$$

0 ni olish uchun a va -a ni birlashtirish.

$$1=1$$

1 va 1 ni taqqoslang.

$$\text{true}$$

Bu har qanday a uchun to‘g‘ri.

$$a\in \mathrm{C}$$

a uchun yechish

$$a\in \mathrm{R}$$

Yechim qadamlari

Tenglamaning ikkala tarafini 12 ga, 6,4,12 ning eng kichik karralisiga ko‘paytiring.

$$2\left(5a-1\right)-3\left(3a-1\right)=1\left(a+1\right)$$

2 ga 5a-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10a-2-3\left(3a-1\right)=1\left(a+1\right)$$

-3 ga 3a-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10a-2-9a+3=1\left(a+1\right)$$

a ni olish uchun 10a va -9a ni birlashtirish.

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

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

$$a+1=1\left(a+1\right)$$

1 ga a+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$a+1=a+1$$

Ikkala tarafdan a ni ayirish.

$$a+1-a=1$$

0 ni olish uchun a va -a ni birlashtirish.

$$1=1$$

1 va 1 ni taqqoslang.

$$\text{true}$$

Bu har qanday a uchun to‘g‘ri.

$$a\in \mathrm{R}$$