Draw the graphs of the equations 5x - y = 5 and 3x - y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y axis.


5x - y = 5 Or,

y = 5x - 5


The solution table will be as follows.


x



0



1



2



y



-5



0



5



3x - y = 3 or, y = 3x – 3






The solution table will be as follows.






x



0



1



2



y



-3



0



3



The graphical representation of these lines will be as follows.



It can be observed that the required triangle is ΔABC formed by these lines and y-axis. The coordinates of vertices are A (1, 0), B (0, - 3), C (0, - 5).


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