Which one of the following options is true, and why ?
$y=3 x+5$ has
$(i)$ a unique solution,
$(ii)$ only two solutions,
$(iii)$ infinitely many solutions
Which one of the following options is true, and why ?
$y=3 x+5$ has
$(i)$ a unique solution,
$(ii)$ only two solutions,
$(iii)$ infinitely many solutions
$y = 3x + 5$ is a linear equation in two variables and it has infinite possible solutions. As for every value of $x$, there will be a value of $y$ satisfying the above equation and vice-versa.
Hence, the correct answer is $(iii)$.
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