Question

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

Answer 1

The given equation is
3y = ax + 7

According to the question, x = 3 and y = 4

Now, Substituting the values of x and y in the equation 3y = ax + 7,

We get,

(3 × 4) = (a ×3 ) + 7

⟹ 12 = 3a + 7

⟹ 3a = 12 – 7

⟹ 3a = 5

⟹ a = $\frac{5}{3}$

The value of a, if the point (3,4) lies on the graph of the equation 3y = ax + 7 is $\frac{5}{3}$.