2/3(5x-7)=4/5 eching

$$\frac { 2 } { 3 } ( 5 x - 7 ) = \frac { 4 } { 5 }$$

x uchun yechish

$$x = \frac{41}{25} = 1\frac{16}{25} = 1,64$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikki tarafini \frac{3}{2} va teskari kasri \frac{2}{3} ga ko‘paytiring.

$$5x-7=\frac{4}{5}\times \frac{3}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni \frac{3}{2} ga ko‘paytiring.

$$5x-7=\frac{4\times 3}{5\times 2}$$

\frac{4\times 3}{5\times 2} kasridagi ko‘paytirishlarni bajaring.

$$5x-7=\frac{12}{10}$$

\frac{12}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$5x-7=\frac{6}{5}$$

7 ni ikki tarafga qo’shing.

$$5x=\frac{6}{5}+7$$

7 ni \frac{35}{5} kasrga o‘giring.

$$5x=\frac{6}{5}+\frac{35}{5}$$

\frac{6}{5} va \frac{35}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$5x=\frac{6+35}{5}$$

41 olish uchun 6 va 35'ni qo'shing.

$$5x=\frac{41}{5}$$

Ikki tarafini 5 ga bo‘ling.

$$x=\frac{\frac{41}{5}}{5}$$

\frac{\frac{41}{5}}{5} ni yagona kasrga aylantiring.

$$x=\frac{41}{5\times 5}$$

25 hosil qilish uchun 5 va 5 ni ko'paytirish.

$$x=\frac{41}{25}$$