m/m+9=m-4/m+1 eching

$$\frac { m } { m + 9 } = \frac { m - 4 } { m + 1 }$$

m uchun yechish

$$m=9$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

m qiymati -9,-1 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(m+1\right)\left(m+9\right) ga, m+9,m+1 ning eng kichik karralisiga ko‘paytiring.

$$\left(m+1\right)m=\left(m+9\right)\left(m-4\right)$$

m+1 ga m ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$m^{2}+m=\left(m+9\right)\left(m-4\right)$$

m+9 ga m-4 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$m^{2}+m=m^{2}+5m-36$$

Ikkala tarafdan m^{2} ni ayirish.

$$m^{2}+m-m^{2}=5m-36$$

0 ni olish uchun m^{2} va -m^{2} ni birlashtirish.

$$m=5m-36$$

Ikkala tarafdan 5m ni ayirish.

$$m-5m=-36$$

-4m ni olish uchun m va -5m ni birlashtirish.

$$-4m=-36$$

Ikki tarafini -4 ga bo‘ling.

$$m=\frac{-36}{-4}$$

9 ni olish uchun -36 ni -4 ga bo‘ling.

$$m=9$$