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\title{Problems for Tutorial-05: Solution of equations}
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\begin{enumerate}
\item Write a Scilab script to find the intersection of the circle 
$x^2 + y^2 - 25 = 0$ and the plane $x + 2y = 5$.
\item Find the solution of the equation $t \, \mathrm{e}^{-x \,t} + \cos(t) \, \sin(t) + x = 0$ and $x+t-1 = 0$.
\end{enumerate}
{\bf Solution:}
\begin{enumerate}
\item $x = 5$, $y = 0$.
\item $x = 1.5054495 , t = -0.5054495$
\end{enumerate}
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