31/2k+41/3=72/9 eching

$$3 \frac{ 1 }{ 2 } k+4 \frac{ 1 }{ 3 } = 7 \frac{ 2 }{ 9 }$$

k uchun yechish

$$k=\frac{52}{63}\approx 0,825396825$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 18 ga, 2,3,9 ning eng kichik karralisiga ko‘paytiring.

$$9\left(3\times 2+1\right)k+6\left(4\times 3+1\right)=2\left(7\times 9+2\right)$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$9\left(6+1\right)k+6\left(4\times 3+1\right)=2\left(7\times 9+2\right)$$

7 olish uchun 6 va 1'ni qo'shing.

$$9\times 7k+6\left(4\times 3+1\right)=2\left(7\times 9+2\right)$$

63 hosil qilish uchun 9 va 7 ni ko'paytirish.

$$63k+6\left(4\times 3+1\right)=2\left(7\times 9+2\right)$$

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

$$63k+6\left(12+1\right)=2\left(7\times 9+2\right)$$

13 olish uchun 12 va 1'ni qo'shing.

$$63k+6\times 13=2\left(7\times 9+2\right)$$

78 hosil qilish uchun 6 va 13 ni ko'paytirish.

$$63k+78=2\left(7\times 9+2\right)$$

63 hosil qilish uchun 7 va 9 ni ko'paytirish.

$$63k+78=2\left(63+2\right)$$

65 olish uchun 63 va 2'ni qo'shing.

$$63k+78=2\times 65$$

130 hosil qilish uchun 2 va 65 ni ko'paytirish.

$$63k+78=130$$

Ikkala tarafdan 78 ni ayirish.

$$63k=130-78$$

52 olish uchun 130 dan 78 ni ayirish.

$$63k=52$$

Ikki tarafini 63 ga bo‘ling.

$$k=\frac{52}{63}$$