Question

Use the graphical method to show that the straight lines given by the equations x + y = 2, x - 2y = 5 and `x/(3) + y = 0` pass through the same point.

Answer 1

The equations can be written as follows:
y = 2 - x

y = `(1)/(2)(x - 5)`

y = `- x/(3)`
First prepare a table as follows:

X	Y = 2 - x	Y = `(1)/(2)(x - 5)`	Y = `-x/(3)`
- 1	3	- 3	`(1)/(3)`
0	2	`-(5)/(2)`	0
1	1	- 2	`-(1)/(3)`

Thus the graph can be drawn as follows:

From the graph it is clear that the equation of lines are passes through the same point.