If the point (3, 4) lies on the graph of

Question:

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

Solution:

Since, the point (x = 3, y = 4) lies on the equation 3y = ax + 7, then the equation will be , satisfied by the point.

Now, put x = 3 and y = 4 in given equation, we get

3(4) = a (3)+7

=> 12 = 3a+7

=> 3a = 12 – 7

=> 3a = 5

Hence, the value of a is 5/3.

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