(b) Solve the simultaneous equations: \[ \begin{aligned} x^{2}+x y+2 y^{2} & =4 \\ 2 x+3 y & =-1\end{aligned} \]

Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another meth Write all numbers as integers or simplified fractions. \[ \begin{array}{l}7 x+7 y=-19 \\ \\ -9 x-5 y=4 \\ \text { Part: } 0 / 2 \\ \text { Part } 1 \text { of } 2 \\ \text { Evaluate the determinants } D_{1} D_{x} \text {, and } D_{y} \\ D=\square\end{array} \] \( \square \)

\( \frac { 3 ) } { 3 x + 4 } = \frac { 2 x - 8 } { 3 } \)

Use the elimination method to find all solutions of the system: \( \left\{\begin{array}{l}x^{2}-2 y=7 \\ x^{2}+5 y=14\end{array}\right. \) The two solutions of the system are: (the one with \( x<0 \) is) \( x=\square \) \( y=\square \) (the one with \( x>0 \) is) \( x=\square \) \( y=\square \)

Find the nth term of the geometric sequence whose initial term is \( a_{1}=5 \) and common ratio is 10 . \( a_{n}=\square \) Next Question answer must be a function of \( n \).) .

Find dif \( a_{1}=-17 \) and \( a_{13}=-29 \)