1440*(1+x/100)+160*(1-x/250)*25=4960+176x eching

$$1440 \times (1+ \frac{ x }{ 100 } )+160 \times (1- \frac{ x }{ 250 } ) \times 25=4960+176x$$

x uchun yechish

$$x = \frac{100}{37} = 2\frac{26}{37} \approx 2,702702703$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 500 ga, 100,250 ning eng kichik karralisiga ko‘paytiring.

$$720000\left(1+\frac{x}{100}\right)+80000\left(1-\frac{x}{250}\right)\times 25=2480000+88000x$$

720000 ga 1+\frac{x}{100} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$720000+720000\times \frac{x}{100}+80000\left(1-\frac{x}{250}\right)\times 25=2480000+88000x$$

720000 va 100 ichida eng katta umumiy 100 faktorini bekor qiling.

$$720000+7200x+80000\left(1-\frac{x}{250}\right)\times 25=2480000+88000x$$

2000000 hosil qilish uchun 80000 va 25 ni ko'paytirish.

$$720000+7200x+2000000\left(1-\frac{x}{250}\right)=2480000+88000x$$

2000000 ga 1-\frac{x}{250} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$720000+7200x+2000000+2000000\left(-\frac{x}{250}\right)=2480000+88000x$$

2000000 va 250 ichida eng katta umumiy 250 faktorini bekor qiling.

$$720000+7200x+2000000-8000x=2480000+88000x$$

2720000 olish uchun 720000 va 2000000'ni qo'shing.

$$2720000+7200x-8000x=2480000+88000x$$

-800x ni olish uchun 7200x va -8000x ni birlashtirish.

$$2720000-800x=2480000+88000x$$

Ikkala tarafdan 88000x ni ayirish.

$$2720000-800x-88000x=2480000$$

-88800x ni olish uchun -800x va -88000x ni birlashtirish.

$$2720000-88800x=2480000$$

Ikkala tarafdan 2720000 ni ayirish.

$$-88800x=2480000-2720000$$

-240000 olish uchun 2480000 dan 2720000 ni ayirish.

$$-88800x=-240000$$

Ikki tarafini -88800 ga bo‘ling.

$$x=\frac{-240000}{-88800}$$

\frac{-240000}{-88800} ulushini -2400 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{100}{37}$$