2/5x-2/9(x+2)=4 eching

$$\frac { 2 } { 5 } x - \frac { 2 } { 9 } ( x + 2 ) = 4$$

x uchun yechish

$$x=25$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-\frac{2}{9} ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{2}{5}x-\frac{2}{9}x-\frac{2}{9}\times 2=4$$

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

$$\frac{2}{5}x-\frac{2}{9}x+\frac{-2\times 2}{9}=4$$

-4 hosil qilish uchun -2 va 2 ni ko'paytirish.

$$\frac{2}{5}x-\frac{2}{9}x+\frac{-4}{9}=4$$

\frac{-4}{9} kasri manfiy belgini olib tashlash bilan -\frac{4}{9} sifatida qayta yozilishi mumkin.

$$\frac{2}{5}x-\frac{2}{9}x-\frac{4}{9}=4$$

\frac{8}{45}x ni olish uchun \frac{2}{5}x va -\frac{2}{9}x ni birlashtirish.

$$\frac{8}{45}x-\frac{4}{9}=4$$

\frac{4}{9} ni ikki tarafga qo’shing.

$$\frac{8}{45}x=4+\frac{4}{9}$$

4 ni \frac{36}{9} kasrga o‘giring.

$$\frac{8}{45}x=\frac{36}{9}+\frac{4}{9}$$

\frac{36}{9} va \frac{4}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{8}{45}x=\frac{36+4}{9}$$

40 olish uchun 36 va 4'ni qo'shing.

$$\frac{8}{45}x=\frac{40}{9}$$

Ikki tarafini \frac{45}{8} va teskari kasri \frac{8}{45} ga ko‘paytiring.

$$x=\frac{40}{9}\times \frac{45}{8}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{40}{9} ni \frac{45}{8} ga ko‘paytiring.

$$x=\frac{40\times 45}{9\times 8}$$

\frac{40\times 45}{9\times 8} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{1800}{72}$$

25 ni olish uchun 1800 ni 72 ga bo‘ling.

$$x=25$$