5/2(-8x-9)=9 eching

$$\frac{ 5 }{ 2 } (-8x-9)=9$$

x uchun yechish

$$x = -\frac{63}{40} = -1\frac{23}{40} = -1,575$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikki tarafini \frac{2}{5} va teskari kasri \frac{5}{2} ga ko‘paytiring.

$$-8x-9=9\times \frac{2}{5}$$

9\times \frac{2}{5} ni yagona kasrga aylantiring.

$$-8x-9=\frac{9\times 2}{5}$$

18 hosil qilish uchun 9 va 2 ni ko'paytirish.

$$-8x-9=\frac{18}{5}$$

9 ni ikki tarafga qo’shing.

$$-8x=\frac{18}{5}+9$$

9 ni \frac{45}{5} kasrga o‘giring.

$$-8x=\frac{18}{5}+\frac{45}{5}$$

\frac{18}{5} va \frac{45}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-8x=\frac{18+45}{5}$$

63 olish uchun 18 va 45'ni qo'shing.

$$-8x=\frac{63}{5}$$

Ikki tarafini -8 ga bo‘ling.

$$x=\frac{\frac{63}{5}}{-8}$$

\frac{\frac{63}{5}}{-8} ni yagona kasrga aylantiring.

$$x=\frac{63}{5\left(-8\right)}$$

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

$$x=\frac{63}{-40}$$

\frac{63}{-40} kasri manfiy belgini olib tashlash bilan -\frac{63}{40} sifatida qayta yozilishi mumkin.

$$x=-\frac{63}{40}$$