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,
$3 y=a x+7$
$3(4)=a(3)+7$
$5=3 a$
$a=\frac{5}{3}$
Putting $x=3$ and $y=4$ in the given equation,
$3 y=a x+7$
$3(4)=a(3)+7$
$5=3 a$
$a=\frac{5}{3}$