16/5a+37/10(25-a)leq50 eching

$$\frac { 16 } { 5 } a + \frac { 37 } { 10 } ( 25 - a ) \leq 50$$

a uchun yechish

$$a\geq 85$$

Yechim qadamlari

\frac{37}{10} ga 25-a ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{16}{5}a+\frac{37}{10}\times 25+\frac{37}{10}\left(-1\right)a\leq 50$$

\frac{37}{10}\times 25 ni yagona kasrga aylantiring.

$$\frac{16}{5}a+\frac{37\times 25}{10}+\frac{37}{10}\left(-1\right)a\leq 50$$

925 hosil qilish uchun 37 va 25 ni ko'paytirish.

$$\frac{16}{5}a+\frac{925}{10}+\frac{37}{10}\left(-1\right)a\leq 50$$

\frac{925}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{16}{5}a+\frac{185}{2}+\frac{37}{10}\left(-1\right)a\leq 50$$

-\frac{37}{10} hosil qilish uchun \frac{37}{10} va -1 ni ko'paytirish.

$$\frac{16}{5}a+\frac{185}{2}-\frac{37}{10}a\leq 50$$

-\frac{1}{2}a ni olish uchun \frac{16}{5}a va -\frac{37}{10}a ni birlashtirish.

$$-\frac{1}{2}a+\frac{185}{2}\leq 50$$

Ikkala tarafdan \frac{185}{2} ni ayirish.

$$-\frac{1}{2}a\leq 50-\frac{185}{2}$$

50 ni \frac{100}{2} kasrga o‘giring.

$$-\frac{1}{2}a\leq \frac{100}{2}-\frac{185}{2}$$

\frac{100}{2} va \frac{185}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{1}{2}a\leq \frac{100-185}{2}$$

-85 olish uchun 100 dan 185 ni ayirish.

$$-\frac{1}{2}a\leq -\frac{85}{2}$$

Ikki tarafini -2 va teskari kasri -\frac{1}{2} ga ko‘paytiring. -\frac{1}{2} manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$a\geq -\frac{85}{2}\left(-2\right)$$

-\frac{85}{2}\left(-2\right) ni yagona kasrga aylantiring.

$$a\geq \frac{-85\left(-2\right)}{2}$$

170 hosil qilish uchun -85 va -2 ni ko'paytirish.

$$a\geq \frac{170}{2}$$

85 ni olish uchun 170 ni 2 ga bo‘ling.

$$a\geq 85$$