5x+7/4-3x+5/8=4x+9/5-x-9/3 eching

$$\frac{ 5x+7 }{ 4 } - \frac{ 3x+5 }{ 8 } = \frac{ 4x+9 }{ 5 } - \frac{ x-9 }{ 3 }$$

x uchun yechish

$$x=9$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 120 ga, 4,8,5,3 ning eng kichik karralisiga ko‘paytiring.

$$30\left(5x+7\right)-15\left(3x+5\right)=24\left(4x+9\right)-40\left(x-9\right)$$

30 ga 5x+7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$150x+210-15\left(3x+5\right)=24\left(4x+9\right)-40\left(x-9\right)$$

-15 ga 3x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$150x+210-45x-75=24\left(4x+9\right)-40\left(x-9\right)$$

105x ni olish uchun 150x va -45x ni birlashtirish.

$$105x+210-75=24\left(4x+9\right)-40\left(x-9\right)$$

135 olish uchun 210 dan 75 ni ayirish.

$$105x+135=24\left(4x+9\right)-40\left(x-9\right)$$

24 ga 4x+9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$105x+135=96x+216-40\left(x-9\right)$$

-40 ga x-9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$105x+135=96x+216-40x+360$$

56x ni olish uchun 96x va -40x ni birlashtirish.

$$105x+135=56x+216+360$$

576 olish uchun 216 va 360'ni qo'shing.

$$105x+135=56x+576$$

Ikkala tarafdan 56x ni ayirish.

$$105x+135-56x=576$$

49x ni olish uchun 105x va -56x ni birlashtirish.

$$49x+135=576$$

Ikkala tarafdan 135 ni ayirish.

$$49x=576-135$$

441 olish uchun 576 dan 135 ni ayirish.

$$49x=441$$

Ikki tarafini 49 ga bo‘ling.

$$x=\frac{441}{49}$$

9 ni olish uchun 441 ni 49 ga bo‘ling.

$$x=9$$