Q17 of 44 Page 3

Show graphically that each of the following given systems of equations has infinitely many solutions:

2x + 3y = 6, 4x + 6y = 12. (CBSE 2010)

For equation, 2x + 3y = 6


First, take x = 0 and find the value of y.


Then, take y = 0 and find the value of x.



x

0

3

y

2

0

Now similarly solve for equation, 4x + 6y = 12



x

0

3

y

2

0

Plot the values in a graph and find the intersecting point for the solution.



The lines coincide on each other, this indicates that there are number of intersection points on the line since a line consists of infinite points.


Hence, the graph shows that the system of equations have infinite number of solutions.

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