1/3-1/2m=16m+7/9 eching

$$\frac{ 1 }{ 3 } - \frac{ 1 }{ 2 } m = 16m+ \frac{ 7 }{ 9 }$$

m uchun yechish

$$m=-\frac{8}{297}\approx -0,026936027$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 16m ni ayirish.

$$\frac{1}{3}-\frac{1}{2}m-16m=\frac{7}{9}$$

-\frac{33}{2}m ni olish uchun -\frac{1}{2}m va -16m ni birlashtirish.

$$\frac{1}{3}-\frac{33}{2}m=\frac{7}{9}$$

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

$$-\frac{33}{2}m=\frac{7}{9}-\frac{1}{3}$$

9 va 3 ning eng kichik umumiy karralisi 9 ga teng. \frac{7}{9} va \frac{1}{3} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{33}{2}m=\frac{7}{9}-\frac{3}{9}$$

\frac{7}{9} va \frac{3}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{33}{2}m=\frac{7-3}{9}$$

4 olish uchun 7 dan 3 ni ayirish.

$$-\frac{33}{2}m=\frac{4}{9}$$

Ikki tarafini -\frac{2}{33} va teskari kasri -\frac{33}{2} ga ko‘paytiring.

$$m=\frac{4}{9}\left(-\frac{2}{33}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{9} ni -\frac{2}{33} ga ko‘paytiring.

$$m=\frac{4\left(-2\right)}{9\times 33}$$

\frac{4\left(-2\right)}{9\times 33} kasridagi ko‘paytirishlarni bajaring.

$$m=\frac{-8}{297}$$

\frac{-8}{297} kasri manfiy belgini olib tashlash bilan -\frac{8}{297} sifatida qayta yozilishi mumkin.

$$m=-\frac{8}{297}$$