Given equations are:

2*x* + *y* 6 = 0 ... (1)

2*x* *y* + 2 = 0 ... (2)

Solution for 2*x* + *y* 6 = 0 are (2, 2), (0, 6) and (3, 0).

Solution for 2*x* *y* + 2 = 0 are (2, 6), (1, 4) and (3, 8).

The graph for the equations can be drawn as follows:

Co-ordinates of vertices are (1, 4), (-1, 0) and (3, 0).

Area = (½)x base x height

= (1/2) x 4 x 4

= 8 sq units