2x+3/4+3x+4/9=2*+10 eching

$$\frac{ 2x+3 }{ 4 } + \frac{ 3x+4 }{ 9 } =2 \times +10$$

x uchun yechish

$$x = \frac{677}{30} = 22\frac{17}{30} \approx 22,566666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 36 ga, 4,9 ning eng kichik karralisiga ko‘paytiring.

$$9\left(2x+3\right)+4\left(3x+4\right)=72\times 10$$

9 ga 2x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$18x+27+4\left(3x+4\right)=72\times 10$$

4 ga 3x+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$18x+27+12x+16=72\times 10$$

30x ni olish uchun 18x va 12x ni birlashtirish.

$$30x+27+16=72\times 10$$

43 olish uchun 27 va 16'ni qo'shing.

$$30x+43=72\times 10$$

720 hosil qilish uchun 72 va 10 ni ko'paytirish.

$$30x+43=720$$

Ikkala tarafdan 43 ni ayirish.

$$30x=720-43$$

677 olish uchun 720 dan 43 ni ayirish.

$$30x=677$$

Ikki tarafini 30 ga bo‘ling.

$$x=\frac{677}{30}$$