The linear equation 3x – 5y = 15 has

3x – 5y = 15

⇒ 3x = 15 + 5y

When y = – 6, then

When y = 0, then

⇒ x = 5

When y = 6, then,

⇒ x = 15

Thus, we have the following table,

Plotting these points we have the following graph,

The blue line in the graph is the required line of the equation, 3x – 5y = 15

According to the graph, the equation satisfies many points therefore, it has infinitely many solutions.