


Get live Maths 1-on-1 Classs - Class 6 to 12
Examples
Example 2
Example 3
Example 4 Important
Example 5 You are here
Example 6 Important
Example 7
Example 8
Example 9
Example 10 Important
Example 11 Important
Example 12
Example 13 Important
Example 14 Important
Example 15
Example 16 Important Deleted for CBSE Board 2023 Exams
Example 17 Deleted for CBSE Board 2023 Exams
Example 18 Important Deleted for CBSE Board 2023 Exams
Example 19 Important Deleted for CBSE Board 2023 Exams
Last updated at March 22, 2023 by Teachoo
Example 5 Graphically, find whether the following pair of equations has no solution, unique solution or infinitely many solutions: 5x – 8y + 1 = 0 & 3x – 24/5 y + 3/5 = 0 Given equations are 5x − 8y + 1 = 0 3x – 24/5 y + 3/5 = 0 Simplifying them 5x − 8y = −1 15x – 24y = −3 For Equation (1) 5x − 8y = −1 Putting x = 0 5(0) − 8y = −1 0 − 8y = −1 y = (−1)/(−8) y = 0.125 So, x = 0, y = 0.125 is a solution i.e. (0, 0.125) is a solution Putting x = −1 5(−1) − 8y = −1 −5 − 8y = −1 −8y = −1 + 5 y = 4/(−8) y = −0.5 So, x = −1, y = −0.5 is a solution i.e. (−1, −0.5) is a solution For Equation (2) 15x – 24y = −3 Putting x = 0 15(0) − 24y = −3 0 − 24y = −3 y = (−3)/(−24) y = 0.125 So, x = 0, y = 0.125 is a solution i.e. (0, 0.125) is a solution Putting x = −1 15(−1) − 24y = −3 −15 − 24y = −3 −24y = −3 + 15 y = 12/(−24) y = −0.5 So, x = −1, y = −0.5 is a solution i.e. (−1, −0.5) is a solution We will plot both equations on the graph Since the lines are coincident, the given equations have infinitely many solutions