x+3/x+7=x+6/x+4 eching

$$\frac { x + 3 } { x + 7 } = \frac { x + 6 } { x + 4 }$$

x uchun yechish

$$x=-5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -7,-4 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(x+4\right)\left(x+7\right) ga, x+7,x+4 ning eng kichik karralisiga ko‘paytiring.

$$\left(x+4\right)\left(x+3\right)=\left(x+7\right)\left(x+6\right)$$

x+4 ga x+3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{2}+7x+12=\left(x+7\right)\left(x+6\right)$$

x+7 ga x+6 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{2}+7x+12=x^{2}+13x+42$$

Ikkala tarafdan x^{2} ni ayirish.

$$x^{2}+7x+12-x^{2}=13x+42$$

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

$$7x+12=13x+42$$

Ikkala tarafdan 13x ni ayirish.

$$7x+12-13x=42$$

-6x ni olish uchun 7x va -13x ni birlashtirish.

$$-6x+12=42$$

Ikkala tarafdan 12 ni ayirish.

$$-6x=42-12$$

30 olish uchun 42 dan 12 ni ayirish.

$$-6x=30$$

Ikki tarafini -6 ga bo‘ling.

$$x=\frac{30}{-6}$$

-5 ni olish uchun 30 ni -6 ga bo‘ling.

$$x=-5$$