Show graphically that each of the following given systems of equations has infinitely many solutions:
2x + y = 6, 6x + 3y = 18.
For equation, 2x + y = 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 | 6 | 0 |
Now similarly solve for equation, 6x + 3y = 18
x | 0 | 3 |
y | 6 | 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.