5/6m-5/12=7/8m+2/3 eching

$$\frac { 5 } { 6 } m - \frac { 5 } { 12 } = \frac { 7 } { 8 } m + \frac { 2 } { 3 }$$

m uchun yechish

$$m=-26$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan \frac{7}{8}m ni ayirish.

$$\frac{5}{6}m-\frac{5}{12}-\frac{7}{8}m=\frac{2}{3}$$

-\frac{1}{24}m ni olish uchun \frac{5}{6}m va -\frac{7}{8}m ni birlashtirish.

$$-\frac{1}{24}m-\frac{5}{12}=\frac{2}{3}$$

\frac{5}{12} ni ikki tarafga qo’shing.

$$-\frac{1}{24}m=\frac{2}{3}+\frac{5}{12}$$

3 va 12 ning eng kichik umumiy karralisi 12 ga teng. \frac{2}{3} va \frac{5}{12} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{1}{24}m=\frac{8}{12}+\frac{5}{12}$$

\frac{8}{12} va \frac{5}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{1}{24}m=\frac{8+5}{12}$$

13 olish uchun 8 va 5'ni qo'shing.

$$-\frac{1}{24}m=\frac{13}{12}$$

Ikki tarafini -24 va teskari kasri -\frac{1}{24} ga ko‘paytiring.

$$m=\frac{13}{12}\left(-24\right)$$

\frac{13}{12}\left(-24\right) ni yagona kasrga aylantiring.

$$m=\frac{13\left(-24\right)}{12}$$

-312 hosil qilish uchun 13 va -24 ni ko'paytirish.

$$m=\frac{-312}{12}$$

-26 ni olish uchun -312 ni 12 ga bo‘ling.

$$m=-26$$