4x/10+25x/15+13x/10+25/15=frac{20x}{10} eching

$$\frac{ 4x }{ 10 } + \frac{ 25x }{ 15 } + \frac{ 13x }{ 10 } + \frac{ 25 }{ 15 } = \frac{ 20x }{ 10 }$$

x uchun yechish

$$x = -\frac{50}{41} = -1\frac{9}{41} \approx -1,219512195$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 30 ga, 10,15 ning eng kichik karralisiga ko‘paytiring.

$$3\times 4x+2\times 25x+3\times 13x+2\times 25=3\times 20x$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$12x+2\times 25x+3\times 13x+2\times 25=3\times 20x$$

50 hosil qilish uchun 2 va 25 ni ko'paytirish.

$$12x+50x+3\times 13x+2\times 25=3\times 20x$$

62x ni olish uchun 12x va 50x ni birlashtirish.

$$62x+3\times 13x+2\times 25=3\times 20x$$

39 hosil qilish uchun 3 va 13 ni ko'paytirish.

$$62x+39x+2\times 25=3\times 20x$$

101x ni olish uchun 62x va 39x ni birlashtirish.

$$101x+2\times 25=3\times 20x$$

50 hosil qilish uchun 2 va 25 ni ko'paytirish.

$$101x+50=3\times 20x$$

60 hosil qilish uchun 3 va 20 ni ko'paytirish.

$$101x+50=60x$$

Ikkala tarafdan 60x ni ayirish.

$$101x+50-60x=0$$

41x ni olish uchun 101x va -60x ni birlashtirish.

$$41x+50=0$$

Ikkala tarafdan 50 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$41x=-50$$

Ikki tarafini 41 ga bo‘ling.

$$x=\frac{-50}{41}$$

\frac{-50}{41} kasri manfiy belgini olib tashlash bilan -\frac{50}{41} sifatida qayta yozilishi mumkin.

$$x=-\frac{50}{41}$$