Ex.3.7 Q6 Pair of Linear Equations in Two Variables Solution - NCERT Maths Class 10

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Question

Draw graphs of the equations \(5x - y = 5\) and \(3x - y = 3\). Determine the coordinates of the vertices of the triangle formed by these lines and the \(y\) axis.

 Video Solution
Pair Of Linear Equations In Two Variables
Ex 3.7 | Question 6

Text Solution

Steps:

\[\begin{align}5x - y &= 5\\\Rightarrow \quad y &= 5x - 5\end{align}\]

The solution table will be as follows.

\(x\)

\(0\)

\(2\)

\(y\)

\(-5\)

\(5\)

\[\begin{align}3x - y &= 3\\ \Rightarrow \quad y &= 3x - 3\end{align}\]

The solution table will be as follows.

\(x\)

\(0\)

\(2\)

\(y\)

\(-3\)

\(3\)

The graphical representation of these lines will be as follows.

It can be observed that the required triangle is \(ABC\) formed by these lines and \(y-\)axis.

The coordinates of vertices are \(A( 1, 0),\; B (0, - 3),\; C (0, - 5)\).