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

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

x uchun yechish

$$x = -\frac{89}{2} = -44\frac{1}{2} = -44,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3\times 4x+2\times 25x+39+2\times 25=3\times 20x$$

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

$$12x+2\times 25x+39+2\times 25=3\times 20x$$

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

$$12x+50x+39+2\times 25=3\times 20x$$

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

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

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

$$62x+39+50=3\times 20x$$

89 olish uchun 39 va 50'ni qo'shing.

$$62x+89=3\times 20x$$

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

$$62x+89=60x$$

Ikkala tarafdan 60x ni ayirish.

$$62x+89-60x=0$$

2x ni olish uchun 62x va -60x ni birlashtirish.

$$2x+89=0$$

Ikkala tarafdan 89 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$2x=-89$$

Ikki tarafini 2 ga bo‘ling.

$$x=\frac{-89}{2}$$

\frac{-89}{2} kasri manfiy belgini olib tashlash bilan -\frac{89}{2} sifatida qayta yozilishi mumkin.

$$x=-\frac{89}{2}$$