Question
Use the graphical method to show that the straight lines given by the equations $x + y = 2, x - 2y = 5$ and $\frac{x}{3}+y=0$ pass through the same point.
✓
Answer
The equations can be written as follows:
$y = 2 - x$
$ y =\frac{1}{2}(x-5)$
$y =-\frac{x}{3}$
First prepare a table as follows:
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.
$y = 2 - x$
$ y =\frac{1}{2}(x-5)$
$y =-\frac{x}{3}$
First prepare a table as follows:
| $X$ | $Y = 2 - x$ | $Y=\frac{1}{2}(x-5)$ | $Y =-\frac{x}{3}$ |
| $- 1$ | $3$ | $- 3$ | $\frac{1}{3}$ |
| $0$ | $2$ | $-\frac{5}{2}$ | $0$ |
| $1$ | $1$ | $- 2$ | $-\frac{1}{3}$ |
From the graph it is clear that the equation of lines are passes through the same point.
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