-31/5x+71/10=42/9 eching

$$-3 \frac{ 1 }{ 5 } x+7 \frac{ 1 }{ 10 } = 4 \frac{ 2 }{ 9 }$$

x uchun yechish

$$x=\frac{259}{288}\approx 0,899305556$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 90 ga, 5,10,9 ning eng kichik karralisiga ko‘paytiring.

$$90\left(-\frac{3\times 5+1}{5}\right)x+9\left(7\times 10+1\right)=10\left(4\times 9+2\right)$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$90\left(-\frac{15+1}{5}\right)x+9\left(7\times 10+1\right)=10\left(4\times 9+2\right)$$

16 olish uchun 15 va 1'ni qo'shing.

$$90\left(-\frac{16}{5}\right)x+9\left(7\times 10+1\right)=10\left(4\times 9+2\right)$$

90\left(-\frac{16}{5}\right) ni yagona kasrga aylantiring.

$$\frac{90\left(-16\right)}{5}x+9\left(7\times 10+1\right)=10\left(4\times 9+2\right)$$

-1440 hosil qilish uchun 90 va -16 ni ko'paytirish.

$$\frac{-1440}{5}x+9\left(7\times 10+1\right)=10\left(4\times 9+2\right)$$

-288 ni olish uchun -1440 ni 5 ga bo‘ling.

$$-288x+9\left(7\times 10+1\right)=10\left(4\times 9+2\right)$$

70 hosil qilish uchun 7 va 10 ni ko'paytirish.

$$-288x+9\left(70+1\right)=10\left(4\times 9+2\right)$$

71 olish uchun 70 va 1'ni qo'shing.

$$-288x+9\times 71=10\left(4\times 9+2\right)$$

639 hosil qilish uchun 9 va 71 ni ko'paytirish.

$$-288x+639=10\left(4\times 9+2\right)$$

36 hosil qilish uchun 4 va 9 ni ko'paytirish.

$$-288x+639=10\left(36+2\right)$$

38 olish uchun 36 va 2'ni qo'shing.

$$-288x+639=10\times 38$$

380 hosil qilish uchun 10 va 38 ni ko'paytirish.

$$-288x+639=380$$

Ikkala tarafdan 639 ni ayirish.

$$-288x=380-639$$

-259 olish uchun 380 dan 639 ni ayirish.

$$-288x=-259$$

Ikki tarafini -288 ga bo‘ling.

$$x=\frac{-259}{-288}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-259}{-288} kasrini \frac{259}{288} ga soddalashtirish mumkin.

$$x=\frac{259}{288}$$