1-p/6+2p/3-1-7p/4=21/6 eching

$$\frac { 1 - p } { 6 } + \frac { 2 p } { 3 } - \frac { 1 - 7 p } { 4 } = 2 \frac { 1 } { 6 }$$

p uchun yechish

$$p=1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 6,3,4 ning eng kichik karralisiga ko‘paytiring.

$$2\left(1-p\right)+4\times 2p-3\left(1-7p\right)=2\left(2\times 6+1\right)$$

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

$$2-2p+4\times 2p-3\left(1-7p\right)=2\left(2\times 6+1\right)$$

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

$$2-2p+8p-3\left(1-7p\right)=2\left(2\times 6+1\right)$$

6p ni olish uchun -2p va 8p ni birlashtirish.

$$2+6p-3\left(1-7p\right)=2\left(2\times 6+1\right)$$

-3 ga 1-7p ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2+6p-3+21p=2\left(2\times 6+1\right)$$

-1 olish uchun 2 dan 3 ni ayirish.

$$-1+6p+21p=2\left(2\times 6+1\right)$$

27p ni olish uchun 6p va 21p ni birlashtirish.

$$-1+27p=2\left(2\times 6+1\right)$$

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

$$-1+27p=2\left(12+1\right)$$

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

$$-1+27p=2\times 13$$

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

$$-1+27p=26$$

1 ni ikki tarafga qo’shing.

$$27p=26+1$$

27 olish uchun 26 va 1'ni qo'shing.

$$27p=27$$

Ikki tarafini 27 ga bo‘ling.

$$p=\frac{27}{27}$$

1 ni olish uchun 27 ni 27 ga bo‘ling.

$$p=1$$