Question

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.

Answer 1

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).