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

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

x uchun yechish

$$x=\frac{1}{5}=0,2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

\frac{2}{3}\left(-2\right) ni yagona kasrga aylantiring.

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

-4 hosil qilish uchun 2 va -2 ni ko'paytirish.

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

\frac{-4}{3} kasri manfiy belgini olib tashlash bilan -\frac{4}{3} sifatida qayta yozilishi mumkin.

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

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

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

\frac{-5}{4} hosil qilish uchun \frac{1}{4} va -5 ni ko'paytirish.

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

\frac{-5}{4} kasri manfiy belgini olib tashlash bilan -\frac{5}{4} sifatida qayta yozilishi mumkin.

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

Ikkala tarafdan \frac{1}{4}x ni ayirish.

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

\frac{5}{12}x ni olish uchun \frac{2}{3}x va -\frac{1}{4}x ni birlashtirish.

$$\frac{5}{12}x-\frac{4}{3}=-\frac{5}{4}$$

\frac{4}{3} ni ikki tarafga qo’shing.

$$\frac{5}{12}x=-\frac{5}{4}+\frac{4}{3}$$

4 va 3 ning eng kichik umumiy karralisi 12 ga teng. -\frac{5}{4} va \frac{4}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{12}x=-\frac{15}{12}+\frac{16}{12}$$

-\frac{15}{12} va \frac{16}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5}{12}x=\frac{-15+16}{12}$$

1 olish uchun -15 va 16'ni qo'shing.

$$\frac{5}{12}x=\frac{1}{12}$$

Ikki tarafini \frac{12}{5} va teskari kasri \frac{5}{12} ga ko‘paytiring.

$$x=\frac{1}{12}\times \frac{12}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{12} ni \frac{12}{5} ga ko‘paytiring.

$$x=\frac{1\times 12}{12\times 5}$$

Surat va maxrajdagi ikkala 12 ni qisqartiring.

$$x=\frac{1}{5}$$