Which one of the following options is true, and why? y = 3x+5 has A unique solution Only two solutions Infinitely many solutions

 Solution:

Let us substitute different values for x in the linear equation y = 3x+5,

x	0	1	2	….	100
y, where y=3x+5	5	8	11	….	305

From the table, it is clear that x can have infinite values, and for all the infinite values of x, there are infinite values of y as well.

Hence, (iii) infinitely many solutions is the only option true.