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,
X | – 6 | 0 | 6 |
Y | – 5 | 5 | 15 |
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.
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