Question

Write a linear equation in two variables to represent the statement ''Four times the cost of a table is equal to seven times the cost of a chair''. From the graph of above linear equation, find the cost of one chair if the cost of the table is ₹1050.

Answer 1

Let the cost of a table and a chair be x and y, respectively.

$$\begin{gathered} \mathrm{A}.\mathrm{T}.\mathrm{Q},\mathrm{we}\mathrm{get} \\ 4x=7y \\ \therefore 4x-7y=0,\mathrm{is}\mathrm{the}\mathrm{required}\mathrm{linear}\mathrm{equation}. \end{gathered}$$

The graph of the linear equation is as follows:


Since, at x = 1050, y = 600

So, the cost of one chair is ₹600.