1/5(3-3/2x)-3(2-5/4x)=36 eching

$$\frac { 1 } { 5 } ( 3 - \frac { 3 } { 2 } x ) - 3 ( 2 - \frac { 5 } { 4 } x ) = 36$$

x uchun yechish

$$x=12$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{1}{5} ga 3-\frac{3}{2}x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{5}\times 3+\frac{1}{5}\left(-\frac{3}{2}\right)x-3\left(2-\frac{5}{4}x\right)=36$$

\frac{3}{5} hosil qilish uchun \frac{1}{5} va 3 ni ko'paytirish.

$$\frac{3}{5}+\frac{1}{5}\left(-\frac{3}{2}\right)x-3\left(2-\frac{5}{4}x\right)=36$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{5} ni -\frac{3}{2} ga ko‘paytiring.

$$\frac{3}{5}+\frac{1\left(-3\right)}{5\times 2}x-3\left(2-\frac{5}{4}x\right)=36$$

\frac{1\left(-3\right)}{5\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{3}{5}+\frac{-3}{10}x-3\left(2-\frac{5}{4}x\right)=36$$

\frac{-3}{10} kasri manfiy belgini olib tashlash bilan -\frac{3}{10} sifatida qayta yozilishi mumkin.

$$\frac{3}{5}-\frac{3}{10}x-3\left(2-\frac{5}{4}x\right)=36$$

-3 ga 2-\frac{5}{4}x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{3}{5}-\frac{3}{10}x-6-3\left(-\frac{5}{4}\right)x=36$$

-3\left(-\frac{5}{4}\right) ni yagona kasrga aylantiring.

$$\frac{3}{5}-\frac{3}{10}x-6+\frac{-3\left(-5\right)}{4}x=36$$

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

$$\frac{3}{5}-\frac{3}{10}x-6+\frac{15}{4}x=36$$

6 ni \frac{30}{5} kasrga o‘giring.

$$\frac{3}{5}-\frac{3}{10}x-\frac{30}{5}+\frac{15}{4}x=36$$

\frac{3}{5} va \frac{30}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3-30}{5}-\frac{3}{10}x+\frac{15}{4}x=36$$

-27 olish uchun 3 dan 30 ni ayirish.

$$-\frac{27}{5}-\frac{3}{10}x+\frac{15}{4}x=36$$

\frac{69}{20}x ni olish uchun -\frac{3}{10}x va \frac{15}{4}x ni birlashtirish.

$$-\frac{27}{5}+\frac{69}{20}x=36$$

\frac{27}{5} ni ikki tarafga qo’shing.

$$\frac{69}{20}x=36+\frac{27}{5}$$

36 ni \frac{180}{5} kasrga o‘giring.

$$\frac{69}{20}x=\frac{180}{5}+\frac{27}{5}$$

\frac{180}{5} va \frac{27}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{69}{20}x=\frac{180+27}{5}$$

207 olish uchun 180 va 27'ni qo'shing.

$$\frac{69}{20}x=\frac{207}{5}$$

Ikki tarafini \frac{20}{69} va teskari kasri \frac{69}{20} ga ko‘paytiring.

$$x=\frac{207}{5}\times \frac{20}{69}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{207}{5} ni \frac{20}{69} ga ko‘paytiring.

$$x=\frac{207\times 20}{5\times 69}$$

\frac{207\times 20}{5\times 69} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{4140}{345}$$

12 ni olish uchun 4140 ni 345 ga bo‘ling.

$$x=12$$