31/2-21/3y=31/4 eching

$$3 \frac{ 1 }{ 2 } -2 \frac{ 1 }{ 3 } y = 3 \frac{ 1 }{ 4 }$$

y uchun yechish

$$y=\frac{3}{28}\approx 0,107142857$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 2,3,4 ning eng kichik karralisiga ko‘paytiring.

$$6\left(3\times 2+1\right)-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

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

$$6\left(6+1\right)-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

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

$$6\times 7-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

42 hosil qilish uchun 6 va 7 ni ko'paytirish.

$$42-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

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

$$42-4\left(6+1\right)y=3\left(3\times 4+1\right)$$

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

$$42-4\times 7y=3\left(3\times 4+1\right)$$

28 hosil qilish uchun 4 va 7 ni ko'paytirish.

$$42-28y=3\left(3\times 4+1\right)$$

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

$$42-28y=3\left(12+1\right)$$

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

$$42-28y=3\times 13$$

39 hosil qilish uchun 3 va 13 ni ko'paytirish.

$$42-28y=39$$

Ikkala tarafdan 42 ni ayirish.

$$-28y=39-42$$

-3 olish uchun 39 dan 42 ni ayirish.

$$-28y=-3$$

Ikki tarafini -28 ga bo‘ling.

$$y=\frac{-3}{-28}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-3}{-28} kasrini \frac{3}{28} ga soddalashtirish mumkin.

$$y=\frac{3}{28}$$