Question

Determine graphically the vertices of the triangle, the equations of whose sides are given below:

2y – x = 8, 5y – x = 14 and y – 2x = 1

Answer 1

Draw the 3 lines as given by equations

By taking x = 1 = 1 cm on x-axis

And y = 1 = 1 cm on y-axis

`y/4 - x/8 = 1`

`y/2.8 - x/14 = 1`

`y/1 - x/0.5 = 1`

Clearly from graph points of intersection three lines are (−4, 2), (1, 3), (2, 5).