VI. Find the solution(s) of the following system. \[ \begin{array}{r}x+y+z=1 \\ 2 x+3 y+3 z=2 \\ x+2 y+2 z=1\end{array} \] (Write the answer for the questions on your answer sheet. 10 points)

\( x^{2}-3 x-4=0 \)

\( 67.04 \mathrm{~cm}^{2}=\frac{\sqrt{269}}{2} h \) what is h ?

\begin{tabular}{l} 3. \\ Derive an algebraic expression for \( S_{n} \). \\ INSTRUCTION: Simplify your answer \\ completely. \\ Answer: \\ \( S_{n}= \) \\ \hline Check answer 2 attempts remaining \\ \hline Help! How should I type my answer? \\ \hline\end{tabular}

When \( a=-1, b=0 \), find the value of: \( \begin{array}{ll}\text { (i) } 2 a+3 b & \text { (ii) } 4 a^{2} b+a b^{2}+a b\end{array} \)

Il rapporto tra la differenza di due numeri e la somma aumentata di 6 è \( \frac{1}{3} \). Aggiungendo 3 al numero minore e togliendo 6 al maggiore, si ottie- ne lo stesso risultato. Determina i due numeri. \( [6 ; 15] \)