The linear equation 2x + 5y = 16 has
Given equation,
2x + 5y = 16
⇒ 5y = 16 – 2x
When x = – 2
When x = 8
⇒ y = 0
Thus we have the following table,
X | – 2 | 0 |
Y | 4 | 8 |
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.
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