Question

If the point (3, 5) lies on the graph of the equation 3y = ax + 9, the value of a is __.

Answer 1

If the point lies on the graph then it satisfies the given equation,
Putting $x=3,y=5$ in the given equation,
$3\times 5=a\times 3+9$
$\Rightarrow 3a+9=15$
$\Rightarrow 3a=6$
$\Rightarrow a=\frac{6}{3}$
hence, $a=2$