NCERT Solution Class X Mathematics Pair of Linear Equations in Two Variables Question 6 (Ex 3.8)

Question 6:

Draw the 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.

Answer:

5x − y = 5

Or, y = 5x − 5

The solution table will be as follows.

3x − y = 3

Or, y = 3x − 3

The solution table will be as follows.

The graphical representation of these lines will be as follows.

It can be observed that the required triangle is SABC formed by these lines and yaxis.

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

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