Question
Solve graphically the simultaneous equations given below. Take the scale as $2 \ cm = 1$ unit onboth the axes.$x - 2y - 4 = 0;2x + y = 3$
✓
Answer
$x - 2y - 4 = 0$
$\Rightarrow x = 2y + 4$
The table for $x - 2y - 4 = 0$ is
Also we have
$2x + y = 3$
$\Rightarrow 2x = 3 - y$
$\Rightarrow x =\frac{3-y}{2}$
The table for $2x + y = 3$ is
Plotting the above points we get the following required graph:
From the above graph, it is dear that the two lines$ x - 2y - 4 = 0$ and $2x + y = 3$ intersect at the point $(2, -1)$
$\Rightarrow x = 2y + 4$
The table for $x - 2y - 4 = 0$ is
| $X$ | $4$ | $6$ | $2$ |
| $Y$ | $0$ | $1$ | $- 1$ |
$2x + y = 3$
$\Rightarrow 2x = 3 - y$
$\Rightarrow x =\frac{3-y}{2}$
The table for $2x + y = 3$ is
| $X$ | $1$ | $0$ | $2$ |
| $Y$ | $1$ | $3$ | $- 1$ |
From the above graph, it is dear that the two lines$ x - 2y - 4 = 0$ and $2x + y = 3$ intersect at the point $(2, -1)$
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