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

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Question

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

Sum

Solution

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`.

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Chapter 4: Linear Equation In Two Variables - Exercise 4.3 [Page 39]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 4 Linear Equation In Two Variables
Exercise 4.3 | Q 6. | Page 39

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