Ex 3.1, 7 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables (Important Question)

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Ex 3.1, 7
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.
Our equations are
x – y = −1
3x + 2y = 12
For Equation (1)
x − y = −1
Putting x = 0
0 − y = −1
−y = −1
y = 1
So, x = 0, y = 1 is a solution
i.e. (0, 1) is a solution
Putting y = 0
x − 0 = −1
x = −1
So, x = −1, y = 0 is a solution
i.e. (−1, 0) is a solution
For Equation (2)
3x + 2y = 12
Putting x = 0
3(0) + 2y = 12
2y = 12
y = 12/2
y = 6
So, x = 0, y = 6 is a solution
i.e. (0, 6) is a solution
Putting y = 0
3x + 2(0) = 12
3x = 12
x = 12/3
x = 4
So, x = 4, y = 0 is a solution
i.e. (4, 0) is a solution
We will plot both equations on the graph
Therefore,
the Required triangle is the triangle with vertices (2, 3), (–1, 0) & (4, 0)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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