This question is taken from linear equations in two variables in which we have given two equations 2x+y=6 and 6x+3y=18 and we have to show graphically that the following given systems of equations has indefinitely many solutions

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RS Aggarwal, Class 10, chapter 3A, question no 24

## 2x+y=6….(1)

6x+3y=18……(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=18

or x=(18−3y)/6

Graph:

Both the lines coincide each other.

This system has infinitely many solutions.