x+1/3=3x/5 eching

$$\frac { x + 1 } { 3 } = \frac { 3 x } { 5 }$$

x uchun yechish

$$x = \frac{5}{4} = 1\frac{1}{4} = 1,25$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 15 ga, 3,5 ning eng kichik karralisiga ko‘paytiring.

$$5\left(x+1\right)=3\times 3x$$

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

$$5x+5=3\times 3x$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$5x+5=9x$$

Ikkala tarafdan 9x ni ayirish.

$$5x+5-9x=0$$

-4x ni olish uchun 5x va -9x ni birlashtirish.

$$-4x+5=0$$

Ikkala tarafdan 5 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-4x=-5$$

Ikki tarafini -4 ga bo‘ling.

$$x=\frac{-5}{-4}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-5}{-4} kasrini \frac{5}{4} ga soddalashtirish mumkin.

$$x=\frac{5}{4}$$