Given equation,

2x + 5y = 16

⇒ 5y = 16 – 2x

When x = – 2

When x = 8

⇒ y = 0

Thus we have the following table,

Plotting ( – 2, 4) and (8, 0) we get the following graph,

The blue line is the equation of 2x + 5y = 16

Clearly, from the graph we get infinitely many solutions.