Question
Using the same axes of co$-$ordinates and the same unit, solve graphically :$x + y = 0$ and $3x - 2y = 10.($Take at least $3$ points for each line drawn$).$
✓
Answer
$x + y = 0$
$y = - x;$
The table of $x + y = 0$ is
$3x - 2y = 10$
$\Rightarrow x=\frac{10+2 y}{3}$
The table of $3x - 2y = 10$ is
Now plotting the points on a graph and we get the following required graph:
The two lines intersect at $(2, - 2)$
$\therefore x = 2$ and $y = - 2$
$y = - x;$
The table of $x + y = 0$ is
| $X$ | $5$ | $2$ | $- 5$ |
| $Y$ | $- 5$ | $- 2$ | $5$ |
$\Rightarrow x=\frac{10+2 y}{3}$
The table of $3x - 2y = 10$ is
| $X$ | $4$ | $6$ | $2$ |
| $Y$ | $1$ | $4$ | $- 2$ |
The two lines intersect at $(2, - 2)$
$\therefore x = 2$ and $y = - 2$
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