Question 6 - Important Linear Equation Questions - Chapter 3 Class 10 Pair of Linear Equations in Two Variables

Last updated at May 26, 2023 by Teachoo

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Question 6
Draw the graphs of the equations 5x – y = 5 and 3x – y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y axis.
Given equations
5x − y = 5
3x − y = 3
For Equation (1)
5x − y = 5
Let x = 0
5(0) − y = 5
−y = 5
y = −5
So, x = 0, y = −5 is a solution
i.e. (0, −5) is a solution
Let y = 0
5x − 0 = 5
5x = 5
x = 5/5
x = 1
So, x = 1, y = 0 is a solution
i.e. (1, 0) is a solution
For Equation (3)
3x − y = 3
Let x = 0
3(0) − y = 3
−y = 3
y = −3
So, x = 0, y = −3 is a solution
i.e. (0, −3) is a solution
Let y = 0
3x − 0 = 3
3x = 3
x = 3/3
x = 1
So, x = 1, y = 0 is a solution
i.e. (1, 0) is a solution
Therefore, Δ ABC is the required triangle
Where A(1, 0), B(0, −3), C(0, −5)

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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