2x-3=1/3(7x+2) eching

$$2x-3= \frac{ 1 }{ 3 } (7x+2)$$

x uchun yechish

$$x=-11$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{1}{3} ga 7x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-3=\frac{1}{3}\times 7x+\frac{1}{3}\times 2$$

\frac{7}{3} hosil qilish uchun \frac{1}{3} va 7 ni ko'paytirish.

$$2x-3=\frac{7}{3}x+\frac{1}{3}\times 2$$

\frac{2}{3} hosil qilish uchun \frac{1}{3} va 2 ni ko'paytirish.

$$2x-3=\frac{7}{3}x+\frac{2}{3}$$

Ikkala tarafdan \frac{7}{3}x ni ayirish.

$$2x-3-\frac{7}{3}x=\frac{2}{3}$$

-\frac{1}{3}x ni olish uchun 2x va -\frac{7}{3}x ni birlashtirish.

$$-\frac{1}{3}x-3=\frac{2}{3}$$

3 ni ikki tarafga qo’shing.

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

3 ni \frac{9}{3} kasrga o‘giring.

$$-\frac{1}{3}x=\frac{2}{3}+\frac{9}{3}$$

\frac{2}{3} va \frac{9}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{1}{3}x=\frac{2+9}{3}$$

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

$$-\frac{1}{3}x=\frac{11}{3}$$

Ikki tarafini -3 va teskari kasri -\frac{1}{3} ga ko‘paytiring.

$$x=\frac{11}{3}\left(-3\right)$$

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

$$x=\frac{11\left(-3\right)}{3}$$

-33 hosil qilish uchun 11 va -3 ni ko'paytirish.

$$x=\frac{-33}{3}$$

-11 ni olish uchun -33 ni 3 ga bo‘ling.

$$x=-11$$