1/6-2x-4/5-5x=10/12-4x-3/10-10x eching

$$\frac { 1 } { 6 - 2 x } - \frac { 4 } { 5 - 5 x } = \frac { 10 } { 12 - 4 x } - \frac { 3 } { 10 - 10 x }$$

x uchun yechish

$$x = \frac{7}{5} = 1\frac{2}{5} = 1,4$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 1,3 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 20\left(x-3\right)\left(x-1\right) ga, 6-2x,5-5x,12-4x,10-10x ning eng kichik karralisiga ko‘paytiring.

$$10-10x-\left(12-4x\right)\times 4=\left(5-5x\right)\times 10-\left(6-2x\right)\times 3$$

12-4x ga 4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10-10x-\left(48-16x\right)=\left(5-5x\right)\times 10-\left(6-2x\right)\times 3$$

48-16x teskarisini topish uchun har birining teskarisini toping.

$$10-10x-48+16x=\left(5-5x\right)\times 10-\left(6-2x\right)\times 3$$

-38 olish uchun 10 dan 48 ni ayirish.

$$-38-10x+16x=\left(5-5x\right)\times 10-\left(6-2x\right)\times 3$$

6x ni olish uchun -10x va 16x ni birlashtirish.

$$-38+6x=\left(5-5x\right)\times 10-\left(6-2x\right)\times 3$$

5-5x ga 10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-38+6x=50-50x-\left(6-2x\right)\times 3$$

6-2x ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-38+6x=50-50x-\left(18-6x\right)$$

18-6x teskarisini topish uchun har birining teskarisini toping.

$$-38+6x=50-50x-18+6x$$

32 olish uchun 50 dan 18 ni ayirish.

$$-38+6x=32-50x+6x$$

-44x ni olish uchun -50x va 6x ni birlashtirish.

$$-38+6x=32-44x$$

44x ni ikki tarafga qo’shing.

$$-38+6x+44x=32$$

50x ni olish uchun 6x va 44x ni birlashtirish.

$$-38+50x=32$$

38 ni ikki tarafga qo’shing.

$$50x=32+38$$

70 olish uchun 32 va 38'ni qo'shing.

$$50x=70$$

Ikki tarafini 50 ga bo‘ling.

$$x=\frac{70}{50}$$

\frac{70}{50} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{7}{5}$$