1/3(-5/7m+6/7)=1-1/3m eching

$$\frac { 1 } { 3 } ( - \frac { 5 } { 7 } m + \frac { 6 } { 7 } ) = 1 - \frac { 1 } { 3 } m$$

m uchun yechish

$$m = \frac{15}{2} = 7\frac{1}{2} = 7,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{1}{3} ga -\frac{5}{7}m+\frac{6}{7} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{3}\left(-\frac{5}{7}\right)m+\frac{1}{3}\times \frac{6}{7}=1-\frac{1}{3}m$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{3} ni -\frac{5}{7} ga ko‘paytiring.

$$\frac{1\left(-5\right)}{3\times 7}m+\frac{1}{3}\times \frac{6}{7}=1-\frac{1}{3}m$$

\frac{1\left(-5\right)}{3\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-5}{21}m+\frac{1}{3}\times \frac{6}{7}=1-\frac{1}{3}m$$

\frac{-5}{21} kasri manfiy belgini olib tashlash bilan -\frac{5}{21} sifatida qayta yozilishi mumkin.

$$-\frac{5}{21}m+\frac{1}{3}\times \frac{6}{7}=1-\frac{1}{3}m$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{3} ni \frac{6}{7} ga ko‘paytiring.

$$-\frac{5}{21}m+\frac{1\times 6}{3\times 7}=1-\frac{1}{3}m$$

\frac{1\times 6}{3\times 7} kasridagi ko‘paytirishlarni bajaring.

$$-\frac{5}{21}m+\frac{6}{21}=1-\frac{1}{3}m$$

\frac{6}{21} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{5}{21}m+\frac{2}{7}=1-\frac{1}{3}m$$

\frac{1}{3}m ni ikki tarafga qo’shing.

$$-\frac{5}{21}m+\frac{2}{7}+\frac{1}{3}m=1$$

\frac{2}{21}m ni olish uchun -\frac{5}{21}m va \frac{1}{3}m ni birlashtirish.

$$\frac{2}{21}m+\frac{2}{7}=1$$

Ikkala tarafdan \frac{2}{7} ni ayirish.

$$\frac{2}{21}m=1-\frac{2}{7}$$

1 ni \frac{7}{7} kasrga o‘giring.

$$\frac{2}{21}m=\frac{7}{7}-\frac{2}{7}$$

\frac{7}{7} va \frac{2}{7} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2}{21}m=\frac{7-2}{7}$$

5 olish uchun 7 dan 2 ni ayirish.

$$\frac{2}{21}m=\frac{5}{7}$$

Ikki tarafini \frac{21}{2} va teskari kasri \frac{2}{21} ga ko‘paytiring.

$$m=\frac{5}{7}\times \frac{21}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{7} ni \frac{21}{2} ga ko‘paytiring.

$$m=\frac{5\times 21}{7\times 2}$$

\frac{5\times 21}{7\times 2} kasridagi ko‘paytirishlarni bajaring.

$$m=\frac{105}{14}$$

\frac{105}{14} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$m=\frac{15}{2}$$