If the point (3, 4) lies on the graph of 3y = ax + 7 then the value of a is
Question:

If the point (3, 4) lies on the graph of 3ax + 7 then the value of a is

(a) $\frac{2}{5}$

(b) $\frac{5}{3}$

(c) $\frac{3}{5}$

(d) $\frac{2}{7}$

Solution:

Given equation: $3 y=a x+7$.

Also, $(3,4)$ lies on the graph of the equation.

Putting $x=3, y=4$ in the equation, we get:

$3 \times 4=3 a+7$

$\Rightarrow 12=3 a+7$

$\Rightarrow 3 a=12-7=5$

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

Hence, the correct answer is option (b).