23/24x+1/3=4+1/6 eching

$$\frac { 23 } { 24 } x + \frac { 1 } { 3 } = 4 + \frac { 1 } { 6 }$$

x uchun yechish

$$x=4$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4 ni \frac{24}{6} kasrga o‘giring.

$$\frac{23}{24}x+\frac{1}{3}=\frac{24}{6}+\frac{1}{6}$$

\frac{24}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{23}{24}x+\frac{1}{3}=\frac{24+1}{6}$$

25 olish uchun 24 va 1'ni qo'shing.

$$\frac{23}{24}x+\frac{1}{3}=\frac{25}{6}$$

Ikkala tarafdan \frac{1}{3} ni ayirish.

$$\frac{23}{24}x=\frac{25}{6}-\frac{1}{3}$$

6 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{25}{6} va \frac{1}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{23}{24}x=\frac{25}{6}-\frac{2}{6}$$

\frac{25}{6} va \frac{2}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{23}{24}x=\frac{25-2}{6}$$

23 olish uchun 25 dan 2 ni ayirish.

$$\frac{23}{24}x=\frac{23}{6}$$

Ikki tarafini \frac{24}{23} va teskari kasri \frac{23}{24} ga ko‘paytiring.

$$x=\frac{23}{6}\times \frac{24}{23}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{23}{6} ni \frac{24}{23} ga ko‘paytiring.

$$x=\frac{23\times 24}{6\times 23}$$

Surat va maxrajdagi ikkala 23 ni qisqartiring.

$$x=\frac{24}{6}$$

4 ni olish uchun 24 ni 6 ga bo‘ling.

$$x=4$$