1/2left(x+1right)-4/3div1/6=2 eching

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

x uchun yechish

$$x=19$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{1}{2} ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{2}x+\frac{1}{2}-\frac{\frac{4}{3}}{\frac{1}{6}}=2$$

\frac{4}{3} ni \frac{1}{6} ga bo'lish \frac{4}{3} ga k'paytirish \frac{1}{6} ga qaytarish.

$$\frac{1}{2}x+\frac{1}{2}-\frac{4}{3}\times 6=2$$

\frac{4}{3}\times 6 ni yagona kasrga aylantiring.

$$\frac{1}{2}x+\frac{1}{2}-\frac{4\times 6}{3}=2$$

24 hosil qilish uchun 4 va 6 ni ko'paytirish.

$$\frac{1}{2}x+\frac{1}{2}-\frac{24}{3}=2$$

8 ni olish uchun 24 ni 3 ga bo‘ling.

$$\frac{1}{2}x+\frac{1}{2}-8=2$$

8 ni \frac{16}{2} kasrga o‘giring.

$$\frac{1}{2}x+\frac{1}{2}-\frac{16}{2}=2$$

\frac{1}{2} va \frac{16}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{2}x+\frac{1-16}{2}=2$$

-15 olish uchun 1 dan 16 ni ayirish.

$$\frac{1}{2}x-\frac{15}{2}=2$$

\frac{15}{2} ni ikki tarafga qo’shing.

$$\frac{1}{2}x=2+\frac{15}{2}$$

2 ni \frac{4}{2} kasrga o‘giring.

$$\frac{1}{2}x=\frac{4}{2}+\frac{15}{2}$$

\frac{4}{2} va \frac{15}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{2}x=\frac{4+15}{2}$$

19 olish uchun 4 va 15'ni qo'shing.

$$\frac{1}{2}x=\frac{19}{2}$$

Ikki tarafini 2 va teskari kasri \frac{1}{2} ga ko‘paytiring.

$$x=\frac{19}{2}\times 2$$

2 va 2 ni qisqartiring.

$$x=19$$