81/5=-61/5x+64/5 eching

$$8 \frac { 1 } { 5 } = -6 \frac { 1 } { 5 } x+ 6 \frac { 4 } { 5 }$$

x uchun yechish

$$x=-\frac{7}{31}\approx -0,225806452$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 5 ga ko'paytirish.

$$8\times 5+1=5\left(-\frac{6\times 5+1}{5}\right)x+6\times 5+4$$

40 hosil qilish uchun 8 va 5 ni ko'paytirish.

$$40+1=5\left(-\frac{6\times 5+1}{5}\right)x+6\times 5+4$$

41 olish uchun 40 va 1'ni qo'shing.

$$41=5\left(-\frac{6\times 5+1}{5}\right)x+6\times 5+4$$

30 hosil qilish uchun 6 va 5 ni ko'paytirish.

$$41=5\left(-\frac{30+1}{5}\right)x+6\times 5+4$$

31 olish uchun 30 va 1'ni qo'shing.

$$41=5\left(-\frac{31}{5}\right)x+6\times 5+4$$

5 va 5 ni qisqartiring.

$$41=-31x+6\times 5+4$$

30 hosil qilish uchun 6 va 5 ni ko'paytirish.

$$41=-31x+30+4$$

34 olish uchun 30 va 4'ni qo'shing.

$$41=-31x+34$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-31x+34=41$$

Ikkala tarafdan 34 ni ayirish.

$$-31x=41-34$$

7 olish uchun 41 dan 34 ni ayirish.

$$-31x=7$$

Ikki tarafini -31 ga bo‘ling.

$$x=\frac{7}{-31}$$

\frac{7}{-31} kasri manfiy belgini olib tashlash bilan -\frac{7}{31} sifatida qayta yozilishi mumkin.

$$x=-\frac{7}{31}$$