Question
Check graphically whether the following pair of linear equations is consistent. If yes, solve it graphically
$
2 x-5=0 \text { and } x+y=0
$
$
2 x-5=0 \text { and } x+y=0
$
✓
Answer
To plot $2 x-5=0$, set of points we have,
$
x=\frac{5}{2}
$
for all values of $y$
To plot $x+y=0$, set of points we have,
Plot the points to obtain the graph. Graph we have is:
As we can see from the graph the lines intersect each other at point, hence they are consistent and have a unique solution $\left(\frac{5}{2},-\frac{5}{2}\right)$.
Hence the system is consistent and the solution is $x=\frac{5}{2}, y=-\frac{5}{2}$.
$
x=\frac{5}{2}
$
for all values of $y$
To plot $x+y=0$, set of points we have,
| x | 0 | 1 | -2 |
| y | 0 | -1 | 2 |
Plot the points to obtain the graph. Graph we have is:
As we can see from the graph the lines intersect each other at point, hence they are consistent and have a unique solution $\left(\frac{5}{2},-\frac{5}{2}\right)$.
Hence the system is consistent and the solution is $x=\frac{5}{2}, y=-\frac{5}{2}$.
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