# 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}

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