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

AcademicMathematicsNCERTClass 9

Given: 

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

To do:

We have to find the value of $a$.

Solution:

According to the question,

$(x, y)=(3, 4)$

Now, by substituting $(x, y)=(3, 4)$ in the equation

We get,

 $3(4)=a(3)+7$

This implies,

$12=3a+7$

$12-7=3a$

$5=3a$

$3a=5$

$a=\frac{5}{3}$

Therefore,

The value of $a$ is $\frac{5}{3}$.

raja
Updated on 10-Oct-2022 13:40:07

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