(Solved): Find the coordinate vector \( [x]_{B} \) of the vector \( x \) relative to the given basis \( B \) ...

Find the coordinate vector \( [x]_{B} \) of the vector \( x \) relative to the given basis \( B \). \( b_{1}=\left[\begin{array}{l}3 \\ 4\end{array}\right], b_{2}=\left[\begin{array}{r}4 \\ -5\end{array}\right], x=\left[\begin{array}{l}25 \\ -8\end{array}\right] \), and \( B=\left\{b_{1}, b_{2}\right\} \) \[ \left[\begin{array}{l} 3 \\ 4 \end{array}\right] \] \[ \left[\begin{array}{r} 43 \\ 140 \end{array}\right] \] \[ \left[\begin{array}{r} 25 \\ -8 \end{array}\right] \] \[ \left[\begin{array}{l} 3 \\ 5 \end{array}\right] \]