3(x-2/3)=4/5(x+1/3) eching

$$3 ( x - \frac { 2 } { 3 } ) = \frac { 4 } { 5 } ( x + \frac { 1 } { 3 } )$$

x uchun yechish

$$x = \frac{34}{33} = 1\frac{1}{33} \approx 1,03030303$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3x+3\left(-\frac{2}{3}\right)=\frac{4}{5}\left(x+\frac{1}{3}\right)$$

3 va 3 ni qisqartiring.

$$3x-2=\frac{4}{5}\left(x+\frac{1}{3}\right)$$

\frac{4}{5} ga x+\frac{1}{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x-2=\frac{4}{5}x+\frac{4}{5}\times \frac{1}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni \frac{1}{3} ga ko‘paytiring.

$$3x-2=\frac{4}{5}x+\frac{4\times 1}{5\times 3}$$

\frac{4\times 1}{5\times 3} kasridagi ko‘paytirishlarni bajaring.

$$3x-2=\frac{4}{5}x+\frac{4}{15}$$

Ikkala tarafdan \frac{4}{5}x ni ayirish.

$$3x-2-\frac{4}{5}x=\frac{4}{15}$$

\frac{11}{5}x ni olish uchun 3x va -\frac{4}{5}x ni birlashtirish.

$$\frac{11}{5}x-2=\frac{4}{15}$$

2 ni ikki tarafga qo’shing.

$$\frac{11}{5}x=\frac{4}{15}+2$$

2 ni \frac{30}{15} kasrga o‘giring.

$$\frac{11}{5}x=\frac{4}{15}+\frac{30}{15}$$

\frac{4}{15} va \frac{30}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{11}{5}x=\frac{4+30}{15}$$

34 olish uchun 4 va 30'ni qo'shing.

$$\frac{11}{5}x=\frac{34}{15}$$

Ikki tarafini \frac{5}{11} va teskari kasri \frac{11}{5} ga ko‘paytiring.

$$x=\frac{34}{15}\times \frac{5}{11}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{34}{15} ni \frac{5}{11} ga ko‘paytiring.

$$x=\frac{34\times 5}{15\times 11}$$

\frac{34\times 5}{15\times 11} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{170}{165}$$

\frac{170}{165} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{34}{33}$$