-94=-2(-32/3p+1)+41/6p eching

$$- 94 = - 2 ( - 3 \frac { 2 } { 3 } p + 1 ) + 4 \frac { 1 } { 6 } p$$

p uchun yechish

$$p=-8$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-564=-12\left(\left(-\frac{3\times 3+2}{3}\right)p+1\right)+\left(4\times 6+1\right)p$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$-564=-12\left(\left(-\frac{9+2}{3}\right)p+1\right)+\left(4\times 6+1\right)p$$

11 olish uchun 9 va 2'ni qo'shing.

$$-564=-12\left(-\frac{11}{3}p+1\right)+\left(4\times 6+1\right)p$$

-12 ga -\frac{11}{3}p+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-564=-12\left(-\frac{11}{3}\right)p-12+\left(4\times 6+1\right)p$$

-12\left(-\frac{11}{3}\right) ni yagona kasrga aylantiring.

$$-564=\frac{-12\left(-11\right)}{3}p-12+\left(4\times 6+1\right)p$$

132 hosil qilish uchun -12 va -11 ni ko'paytirish.

$$-564=\frac{132}{3}p-12+\left(4\times 6+1\right)p$$

44 ni olish uchun 132 ni 3 ga bo‘ling.

$$-564=44p-12+\left(4\times 6+1\right)p$$

24 hosil qilish uchun 4 va 6 ni ko'paytirish.

$$-564=44p-12+\left(24+1\right)p$$

25 olish uchun 24 va 1'ni qo'shing.

$$-564=44p-12+25p$$

69p ni olish uchun 44p va 25p ni birlashtirish.

$$-564=69p-12$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$69p-12=-564$$

12 ni ikki tarafga qo’shing.

$$69p=-564+12$$

-552 olish uchun -564 va 12'ni qo'shing.

$$69p=-552$$

Ikki tarafini 69 ga bo‘ling.

$$p=\frac{-552}{69}$$

-8 ni olish uchun -552 ni 69 ga bo‘ling.

$$p=-8$$