Q. 265.0( 1 Vote )

Show graphically that each of the following given systems of equations is inconsistent, i.e., has no solution:

x - 2y = 6, 3x - 6y = 0.

Answer :

For equation, x – 2y = 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, 3x – 6y = 0



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



The equation line x - 2y = 6 will pass through points (0, - 3) and (6,0).


But the equation line 3x - 6y = 0 will pass through x - axis and y - axis, which does not actually intersect the line, x - 2y = 6. Hence, the graph shows that the system of equations have no solutions.


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