Sir please give me a detailed solution of this question in which we have given two equations 2x+y=6 and 6x+3y=20 and we have to show graphically that the following given systems of equations is inconsistent, i.e, has no solution

RS Aggarwal, Class 10, chapter 3A, question 28

## 2x+y=6….(1)

6x+3y=20……(2)

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

2x+y=6

or y=6−2x

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

6x+3y=20

or x=(20−3y)/6

Graph:

From the graph, both the lines are parallel.

Therefore this system has no solution.