x+1/x+2=2/3+1/2 eching

$$\frac { x + 1 } { x + 2 } = \frac { 2 } { 3 } + \frac { 1 } { 2 }$$

x uchun yechish

$$x=-8$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -2 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 6\left(x+2\right) ga, x+2,3,2 ning eng kichik karralisiga ko‘paytiring.

$$6\left(x+1\right)=6\left(x+2\right)\times \frac{2}{3}+6\left(x+2\right)\times \frac{1}{2}$$

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

$$6x+6=6\left(x+2\right)\times \frac{2}{3}+6\left(x+2\right)\times \frac{1}{2}$$

4 hosil qilish uchun 6 va \frac{2}{3} ni ko'paytirish.

$$6x+6=4\left(x+2\right)+6\left(x+2\right)\times \frac{1}{2}$$

4 ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x+6=4x+8+6\left(x+2\right)\times \frac{1}{2}$$

3 hosil qilish uchun 6 va \frac{1}{2} ni ko'paytirish.

$$6x+6=4x+8+3\left(x+2\right)$$

3 ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x+6=4x+8+3x+6$$

7x ni olish uchun 4x va 3x ni birlashtirish.

$$6x+6=7x+8+6$$

14 olish uchun 8 va 6'ni qo'shing.

$$6x+6=7x+14$$

Ikkala tarafdan 7x ni ayirish.

$$6x+6-7x=14$$

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

$$-x+6=14$$

Ikkala tarafdan 6 ni ayirish.

$$-x=14-6$$

8 olish uchun 14 dan 6 ni ayirish.

$$-x=8$$

Ikkala tarafini -1 ga ko‘paytiring.

$$x=-8$$