Q2 of 70 Page 280

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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