If the point $(3,4)$ lies on the graph of the equation $3 y=a x+7$, find the value of $a$.

Solution:

Putting $x=3$ and $y=4$ in the given equation,

$3 y=a x+7$

$3(4)=a(3)+7$

$5=3 a$

$a=\frac{5}{3}$

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