# Show graphically that each of the following given systems of equations has infinitely many solutions:2x + 3y = 6, 4x + 6y = 12.

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.

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

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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