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

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

y uchun yechish

$$y=-\frac{9}{14}\approx -0,642857143$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

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

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

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

6\times \frac{7}{2} ni yagona kasrga aylantiring.

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

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

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

21 ni olish uchun 42 ni 2 ga bo‘ling.

$$21-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

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

$$21-4\left(6+1\right)y=3\left(3\times 4+1\right)$$

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

$$21-4\times 7y=3\left(3\times 4+1\right)$$

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

$$21-28y=3\left(3\times 4+1\right)$$

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

$$21-28y=3\left(12+1\right)$$

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

$$21-28y=3\times 13$$

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

$$21-28y=39$$

Ikkala tarafdan 21 ni ayirish.

$$-28y=39-21$$

18 olish uchun 39 dan 21 ni ayirish.

$$-28y=18$$

Ikki tarafini -28 ga bo‘ling.

$$y=\frac{18}{-28}$$

\frac{18}{-28} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$y=-\frac{9}{14}$$