The formula tells you .. V = constant * T/P That is, volume is proportional to absolute temperature and inversely proportional to pressure. When temperature increases from 273 K to 300 K, volume is increased by the factor 300/273.
When pressure increases from 2 atm to 3 atm, volume is changed by the factor 2/3.
The new volume will be .. (10 L) * (300/273) * (2/3) = 2000/273 L ≈ 7.3 L
on the matrix gives![\left[\begin{array}{cc|c}5&5&5\\1&-\dfrac23&5\end{array}\right]\to\left[\begin{array}{cc|c}1&-\dfrac23&5\\5&5&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D5%265%265%5C%5C1%26-%5Cdfrac23%265%5Cend%7Barray%7D%5Cright%5D%5Cto%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%26-%5Cdfrac23%265%5C%5C5%265%265%5Cend%7Barray%7D%5Cright%5D)