One of the most important and conceptual question from linear equations in two variables in which we have given two equations x-2y=6 and 3x-6y=0 and we have to show graphically that the following given systems of equations is inconsistent, i.e, has no solutuion

Kindly give me a detailed solution of this question

RS aggarwal, Class 10, chapter 3A, question no 26

## x−2y=6….(1)

3x−6y=0……(2)

Isolate x from equation (1) and find the value of x and y.

x−2y=6

or x=6+2y

## Similarly, isolate x from equation (2) and find the values of x and y.

3x−6y=0

or x=2y

## Graph:

From the graph, we can see that both the lines are parallel to each other.

This system has no solution.