Which one of the following options is true,an | vedclass

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(C) The equation $y = 3x + 5$ is a linear equation in two variables.For any linear equation in two variables of the form $ax + by + c = 0$,there exist

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$(iii)$

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(C) The equation $y = 3x + 5$ is a linear equation in two variables.For any linear equation in two variables of the form $ax + by + c = 0$,there exist infinitely many pairs of $(x, y)$ that satisfy the equation.This is because for every real value assigned to $x$,we can calculate a corresponding unique value for $y$ using the relation $y = 3x + 5$.Since there are infinitely many real numbers for $x$,there are infinitely many corresponding values for $y$.Therefore,the correct option is $(iii)$.

Which one of the following options is true,and why?
$y = 3x + 5$ has
$(i)$ a unique solution,
$(ii)$ only two solutions,
$(iii)$ infinitely many solutions

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Which one of the following options is true,and why?$y = 3x + 5$ has$(i)$ a unique solution,$(ii)$ only two solutions,$(iii)$ infinitely many solutions