s-7/s+3=s-9/s+5 eching

$$\frac { s - 7 } { s + 3 } = \frac { s - 9 } { s + 5 }$$

s uchun yechish

$$s=2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

s qiymati -5,-3 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(s+3\right)\left(s+5\right) ga, s+3,s+5 ning eng kichik karralisiga ko‘paytiring.

$$\left(s+5\right)\left(s-7\right)=\left(s+3\right)\left(s-9\right)$$

s+5 ga s-7 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$s^{2}-2s-35=\left(s+3\right)\left(s-9\right)$$

s+3 ga s-9 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$s^{2}-2s-35=s^{2}-6s-27$$

Ikkala tarafdan s^{2} ni ayirish.

$$s^{2}-2s-35-s^{2}=-6s-27$$

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

$$-2s-35=-6s-27$$

6s ni ikki tarafga qo’shing.

$$-2s-35+6s=-27$$

4s ni olish uchun -2s va 6s ni birlashtirish.

$$4s-35=-27$$

35 ni ikki tarafga qo’shing.

$$4s=-27+35$$

8 olish uchun -27 va 35'ni qo'shing.

$$4s=8$$

Ikki tarafini 4 ga bo‘ling.

$$s=\frac{8}{4}$$

2 ni olish uchun 8 ni 4 ga bo‘ling.

$$s=2$$