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.