Qisqa javob: \(\dfrac{11}{5}\) — uchinchi variant.
Yechish:
Algebraik ifodaning qiymatini topish uchun \(a\) va \(b\) o‘rniga berilgan sonlarni qo‘yamiz:
\[ \frac{3a-2b}{2a+b}, \qquad a=-3,\quad b=1 \]
- Suratni hisoblaymiz:
\[ 3a-2b=3\cdot(-3)-2\cdot1=-9-2=-11 \]
- Maxrajni hisoblaymiz:
\[ 2a+b=2\cdot(-3)+1=-6+1=-5 \]
- Kasrni yozamiz:
\[ \frac{-11}{-5}=\frac{11}{5} \]
Ikki manfiy sonning nisbati musbat bo‘ladi, shuning uchun javob:
\[ \boxed{\frac{11}{5}} \]
Tekshirish: optionlardan uchinchisi \(\frac{11}{5}\) ga mos keladi.
