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

Question

Show graphically that each of the following given systems of equations is inconsistent, i.e., has no solution: x - 2y = 6, 3x - 6y = 0.

Philoid · Accepted 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.

x	0	6
y	- 3	0

Now similarly solve for equation, 3x – 6y = 0

x	0	0
y	0	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.

Show graphically that each of the following given systems of equations is inconsistent, i.e., has no solution:x - 2y = 6, 3x - 6y = 0.

Show graphically that each of the following given systems of equations is inconsistent, i.e., has no solution:
x - 2y = 6, 3x - 6y = 0.