# 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 \(\begin{align} a = \frac { 5 } { 3 }\end{align}\)