Question

Question 6
If the point (3, 4) lies on the graph of 3y = ax + 7, then find the value of a.

Answer 1

Since, the point (x = 3, y = 4) lies on the equation 3y = ax + 7, the equation will be satisfied by this point.
Now, put x = 3 and y = 4 in given equation 3y = ax + 7, we get,

$\Rightarrow 3\left(4\right)=a\left(3\right)+7$
$\Rightarrow 12=3a+7$
$\Rightarrow 3a=12-7$
$\Rightarrow 3a=5$
$\therefore a=\frac{5}{3}$

Hence, the value of a is $\frac{5}{3}$.