15x+5left(120-xright)leq135+75left(120-xright) eching

$$15x+5 \left( 120-x \right) \leq 135+75 \left( 120-x \right)$$

x uchun yechish

$$x\leq \frac{1707}{17}$$

Yechim qadamlari

5 ga 120-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$15x+600-5x\leq 135+75\left(120-x\right)$$

10x ni olish uchun 15x va -5x ni birlashtirish.

$$10x+600\leq 135+75\left(120-x\right)$$

75 ga 120-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10x+600\leq 135+9000-75x$$

9135 olish uchun 135 va 9000'ni qo'shing.

$$10x+600\leq 9135-75x$$

75x ni ikki tarafga qo’shing.

$$10x+600+75x\leq 9135$$

85x ni olish uchun 10x va 75x ni birlashtirish.

$$85x+600\leq 9135$$

Ikkala tarafdan 600 ni ayirish.

$$85x\leq 9135-600$$

8535 olish uchun 9135 dan 600 ni ayirish.

$$85x\leq 8535$$

Ikki tarafini 85 ga bo‘ling. 85 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x\leq \frac{8535}{85}$$

\frac{8535}{85} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x\leq \frac{1707}{17}$$