x uchun yechish
x = \frac{165}{8} = 20\frac{5}{8} = 20,625
Grafik
Baham ko'rish
Klipbordga nusxa olish
240\left(\frac{9}{8}-\frac{x}{10}\right)+40x=600
Tenglamaning ikkala tarafini 120 ga, 8,10,3 ning eng kichik karralisiga ko‘paytiring.
240\left(\frac{9\times 5}{40}-\frac{4x}{40}\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\times \frac{9\times 5-4x}{40}+40x=600
\frac{9\times 5}{40} va \frac{4x}{40} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
240\times \frac{45-4x}{40}+40x=600
9\times 5-4x ichidagi ko‘paytirishlarni bajaring.
6\left(45-4x\right)+40x=600
240 va 40 ichida eng katta umumiy 40 faktorini bekor qiling.
270-24x+40x=600
6 ga 45-4x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
270+16x=600
16x ni olish uchun -24x va 40x ni birlashtirish.
16x=600-270
Ikkala tarafdan 270 ni ayirish.
16x=330
330 olish uchun 600 dan 270 ni ayirish.
x=\frac{330}{16}
Ikki tarafini 16 ga bo‘ling.
x=\frac{165}{8}
\frac{330}{16} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
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