Draw the graphs of the equations and Determine the co-ordinate of the vertices of the triangle formed by these lines and the axis.

According to the given statement in the question:
=>\(y = 5x - 5\)............(1)

Three solutions of this equation can be written in a table as follows:

\(\begin{array} {|r|r|}\hline x & 0 & 1 & 2 \\ \hline y & -5 & 0 & 5 \\ \hline \end{array}\)

According to the given statement in the question:
=>\(y = 3x - 3\)............(2)
Three solutions of the equation (2) are :

\(\begin{array} {|r|r|}\hline x & 0 & 1 & 2 \\ \hline y & -3 & 0 & 3 \\ \hline \end{array}\)

Now the graph for the above equations (1) and (2) will be:



It can be observed that the required triangle is ABC.

The coordinates of its vertices are A (1, 0), B (0, –3), C (0, –5).