3/7(x+3)+5=3x+2? eching

$$\frac { 3 } { 7 } ( x + 3 ) + 5 = 3 x + 2 ?$$

x uchun yechish

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1,666666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$\frac{3}{7}x+\frac{3}{7}\times 3+5=3x+2$$

\frac{3}{7}\times 3 ni yagona kasrga aylantiring.

$$\frac{3}{7}x+\frac{3\times 3}{7}+5=3x+2$$

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

$$\frac{3}{7}x+\frac{9}{7}+5=3x+2$$

5 ni \frac{35}{7} kasrga o‘giring.

$$\frac{3}{7}x+\frac{9}{7}+\frac{35}{7}=3x+2$$

\frac{9}{7} va \frac{35}{7} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3}{7}x+\frac{9+35}{7}=3x+2$$

44 olish uchun 9 va 35'ni qo'shing.

$$\frac{3}{7}x+\frac{44}{7}=3x+2$$

Ikkala tarafdan 3x ni ayirish.

$$\frac{3}{7}x+\frac{44}{7}-3x=2$$

-\frac{18}{7}x ni olish uchun \frac{3}{7}x va -3x ni birlashtirish.

$$-\frac{18}{7}x+\frac{44}{7}=2$$

Ikkala tarafdan \frac{44}{7} ni ayirish.

$$-\frac{18}{7}x=2-\frac{44}{7}$$

2 ni \frac{14}{7} kasrga o‘giring.

$$-\frac{18}{7}x=\frac{14}{7}-\frac{44}{7}$$

\frac{14}{7} va \frac{44}{7} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{18}{7}x=\frac{14-44}{7}$$

-30 olish uchun 14 dan 44 ni ayirish.

$$-\frac{18}{7}x=-\frac{30}{7}$$

Ikki tarafini -\frac{7}{18} va teskari kasri -\frac{18}{7} ga ko‘paytiring.

$$x=-\frac{30}{7}\left(-\frac{7}{18}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{30}{7} ni -\frac{7}{18} ga ko‘paytiring.

$$x=\frac{-30\left(-7\right)}{7\times 18}$$

\frac{-30\left(-7\right)}{7\times 18} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{210}{126}$$

\frac{210}{126} ulushini 42 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{5}{3}$$