Question

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

Answer 1

Consider the linear equation:

3y = ax + 7

The point (3, 4) lies on the graph of 3y = ax + 7.

So, this point will be satisfy the given equation, get:

3y = ax + 7

12 = 3 × a + 7

12 – 7 = 3a

3a = 5

`a = 5/3`

Hence, the value of a is `5/3`.