Ex.4.3 Q3 Linear Equations in Two Variables Solution - NCERT Maths Class 9

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Question

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

 Video Solution
Linear Equations In Two Variables
Ex 4.3 | Question 3

Text Solution

What is known?

Linear equation \(3y = ax + 7.\)

 What is Unknown?

Value of \(a\).

 Reasoning:

We can find value of \(a\) by substituting the values of \(x\) and \(y\) in the given equation

Steps:

Given :

\(3y = ax + 7\) is the Linear Equation \(\quad \dots\text{ Equation} (1)\)

Point \((3, 4)\) lies on the Equation (1)

By Substituting the value of \(x = 3\) and \(y = 4\) in the Equation (\(1\)),

\[\begin{align} 3 y & = a x + 7 \\ 3 (4) & = a (3) + 7 \\12 \,\,– 7&=3a \\5 & = 3 a \end{align}\]

Hence, the value \(\begin{align} a = \frac { 5 } { 3 }\end{align}\)

 Video Solution
Linear Equations In Two Variables
Ex 4.3 | Question 3