3/5x-2=x+1/3 eching

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

x uchun yechish

$$x = -\frac{35}{6} = -5\frac{5}{6} \approx -5,833333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan x ni ayirish.

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

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

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

2 ni ikki tarafga qo’shing.

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

2 ni \frac{6}{3} kasrga o‘giring.

$$-\frac{2}{5}x=\frac{1}{3}+\frac{6}{3}$$

\frac{1}{3} va \frac{6}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{2}{5}x=\frac{1+6}{3}$$

7 olish uchun 1 va 6'ni qo'shing.

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

Ikki tarafini -\frac{5}{2} va teskari kasri -\frac{2}{5} ga ko‘paytiring.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{3} ni -\frac{5}{2} ga ko‘paytiring.

$$x=\frac{7\left(-5\right)}{3\times 2}$$

\frac{7\left(-5\right)}{3\times 2} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{-35}{6}$$

\frac{-35}{6} kasri manfiy belgini olib tashlash bilan -\frac{35}{6} sifatida qayta yozilishi mumkin.

$$x=-\frac{35}{6}$$