Question

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

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

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

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

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

Answer 1

ANSWER:
Given equation: 3y = ax + 7.

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

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

$3\times 4=3a+7\Rightarrow 12=3a+7\Rightarrow 3a=12-7=5\Rightarrow a=\frac{5}{3}$

Hence, the correct answer is option (b).