x/3+5/2=5x/2-3/5 eching

$$\frac { x } { 3 } + \frac { 5 } { 2 } = \frac { 5 x } { 2 } - \frac { 3 } { 5 }$$

x uchun yechish

$$x = \frac{93}{65} = 1\frac{28}{65} \approx 1,430769231$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 30 ga, 3,2,5 ning eng kichik karralisiga ko‘paytiring.

$$10x+75=15\times 5x-18$$

75 hosil qilish uchun 15 va 5 ni ko'paytirish.

$$10x+75=75x-18$$

Ikkala tarafdan 75x ni ayirish.

$$10x+75-75x=-18$$

-65x ni olish uchun 10x va -75x ni birlashtirish.

$$-65x+75=-18$$

Ikkala tarafdan 75 ni ayirish.

$$-65x=-18-75$$

-93 olish uchun -18 dan 75 ni ayirish.

$$-65x=-93$$

Ikki tarafini -65 ga bo‘ling.

$$x=\frac{-93}{-65}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-93}{-65} kasrini \frac{93}{65} ga soddalashtirish mumkin.

$$x=\frac{93}{65}$$