Q. 235.0( 2 Votes )

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

3x - y = 5, 6x - 2y = 10.

Answer :

For equation, 3x – y = 5


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


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



Now similarly solve for equation, 6x - 2y = 10



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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