10/3left(2x-6right)=3/5 eching

$$\frac{ 10 }{ 3 } \left( 2x-6 \right) = \frac{ 3 }{ 5 }$$

x uchun yechish

$$x = \frac{309}{100} = 3\frac{9}{100} = 3,09$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikki tarafini \frac{3}{10} va teskari kasri \frac{10}{3} ga ko‘paytiring.

$$2x-6=\frac{3}{5}\times \frac{3}{10}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{5} ni \frac{3}{10} ga ko‘paytiring.

$$2x-6=\frac{3\times 3}{5\times 10}$$

\frac{3\times 3}{5\times 10} kasridagi ko‘paytirishlarni bajaring.

$$2x-6=\frac{9}{50}$$

6 ni ikki tarafga qo’shing.

$$2x=\frac{9}{50}+6$$

6 ni \frac{300}{50} kasrga o‘giring.

$$2x=\frac{9}{50}+\frac{300}{50}$$

\frac{9}{50} va \frac{300}{50} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$2x=\frac{9+300}{50}$$

309 olish uchun 9 va 300'ni qo'shing.

$$2x=\frac{309}{50}$$

Ikki tarafini 2 ga bo‘ling.

$$x=\frac{\frac{309}{50}}{2}$$

\frac{\frac{309}{50}}{2} ni yagona kasrga aylantiring.

$$x=\frac{309}{50\times 2}$$

100 hosil qilish uchun 50 va 2 ni ko'paytirish.

$$x=\frac{309}{100}$$