6=500(1-190x/48)+100x eching

$$6=500( \frac{ 1-190x }{ 48 } )+100x$$

x uchun yechish

$$x=\frac{53}{22550}\approx 0,002350333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 48 ga ko'paytirish.

$$288=500\left(1-190x\right)+4800x$$

500 ga 1-190x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$288=500-95000x+4800x$$

-90200x ni olish uchun -95000x va 4800x ni birlashtirish.

$$288=500-90200x$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$500-90200x=288$$

Ikkala tarafdan 500 ni ayirish.

$$-90200x=288-500$$

-212 olish uchun 288 dan 500 ni ayirish.

$$-90200x=-212$$

Ikki tarafini -90200 ga bo‘ling.

$$x=\frac{-212}{-90200}$$

\frac{-212}{-90200} ulushini -4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{53}{22550}$$