Chapter 3: Pair of Linear Equations in Two Variables

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Q
Pair of linear equations in two variables CBSE NCERT Solutions

Question:

Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.

Answer:

Solution: For equation x – y + 1 = 0, we have the following points which lie on the line.

x

0

-1

y

1

0

 

 

 

 

 

For equation 3x + 2y – 12 = 0, we have the following points which lie on the line.

x

4

0

y

0

6

 

 


 

 

We plot the points for both of the equations to find the solution.

We can see from the graphs that points of intersection of the lines with the x-axis are (–1, 0), (2, 3) and (4, 0).

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