3p/2+5p+2/6=2p/3-1 eching

$$\frac { 3 p } { 2 } + \frac { 5 p + 2 } { 6 } = \frac { 2 p } { 3 } - 1$$

p uchun yechish

$$p=-\frac{4}{5}=-0,8$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3\times 3p+5p+2=2\times 2p-6$$

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

$$9p+5p+2=2\times 2p-6$$

14p ni olish uchun 9p va 5p ni birlashtirish.

$$14p+2=2\times 2p-6$$

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

$$14p+2=4p-6$$

Ikkala tarafdan 4p ni ayirish.

$$14p+2-4p=-6$$

10p ni olish uchun 14p va -4p ni birlashtirish.

$$10p+2=-6$$

Ikkala tarafdan 2 ni ayirish.

$$10p=-6-2$$

-8 olish uchun -6 dan 2 ni ayirish.

$$10p=-8$$

Ikki tarafini 10 ga bo‘ling.

$$p=\frac{-8}{10}$$

\frac{-8}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$p=-\frac{4}{5}$$