2(9/8-x/10)+x/3=5 eching

$$2 ( \frac { 9 } { 8 } - \frac { x } { 10 } ) + \frac { x } { 3 } = 5$$

x uchun yechish

$$x = \frac{165}{8} = 20\frac{5}{8} = 20,625$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 120 ga, 8,10,3 ning eng kichik karralisiga ko‘paytiring.

$$240\left(\frac{9}{8}-\frac{x}{10}\right)+40x=600$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 8 va 10 ning eng kichik umumiy karralisi 40. \frac{9}{8} ni \frac{5}{5} marotabaga ko'paytirish. \frac{x}{10} ni \frac{4}{4} marotabaga ko'paytirish.

$$240\left(\frac{9\times 5}{40}-\frac{4x}{40}\right)+40x=600$$

\frac{9\times 5}{40} va \frac{4x}{40} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$240\times \frac{9\times 5-4x}{40}+40x=600$$

9\times 5-4x ichidagi ko‘paytirishlarni bajaring.

$$240\times \frac{45-4x}{40}+40x=600$$

240 va 40 ichida eng katta umumiy 40 faktorini bekor qiling.

$$6\left(45-4x\right)+40x=600$$

6 ga 45-4x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$270-24x+40x=600$$

16x ni olish uchun -24x va 40x ni birlashtirish.

$$270+16x=600$$

Ikkala tarafdan 270 ni ayirish.

$$16x=600-270$$

330 olish uchun 600 dan 270 ni ayirish.

$$16x=330$$

Ikki tarafini 16 ga bo‘ling.

$$x=\frac{330}{16}$$

\frac{330}{16} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{165}{8}$$