An important question from linear equations in two variables in which we have given two equations 3x-y=5, 6x-2y=10 and we have to show graphically that the following given systems of equations has indefinitely many solutions
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 3A, question no 23
3x−y=5….(1)
6x−2y=10……(2)
Isolate x from equation (1) and find the value of x and y.
3x−y=5
or y=3x−5
Similarly, isolate x from equation (2) and find the values of x and y.
6x−2y=10
or x=(10+2y)/6
Graph:
Both the lines coincide each other. Which shows that system has infinite many solutions.