12x-4/5+17-20x/10+4x-7/20=1 eching

$$\frac { 12 x - 4 } { 5 } + \frac { 17 - 20 x } { 10 } + \frac { 4 x - 7 } { 20 } = 1$$

x uchun yechish

$$x=\frac{3}{4}=0,75$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 20 ga, 5,10,20 ning eng kichik karralisiga ko‘paytiring.

$$4\left(12x-4\right)+2\left(17-20x\right)+4x-7=20$$

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

$$48x-16+2\left(17-20x\right)+4x-7=20$$

2 ga 17-20x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$48x-16+34-40x+4x-7=20$$

18 olish uchun -16 va 34'ni qo'shing.

$$48x+18-40x+4x-7=20$$

8x ni olish uchun 48x va -40x ni birlashtirish.

$$8x+18+4x-7=20$$

12x ni olish uchun 8x va 4x ni birlashtirish.

$$12x+18-7=20$$

11 olish uchun 18 dan 7 ni ayirish.

$$12x+11=20$$

Ikkala tarafdan 11 ni ayirish.

$$12x=20-11$$

9 olish uchun 20 dan 11 ni ayirish.

$$12x=9$$

Ikki tarafini 12 ga bo‘ling.

$$x=\frac{9}{12}$$

\frac{9}{12} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{3}{4}$$