Question

Check whether the point $(-4, 3)$ lies on both the lines represented by the linear equations:
$x + y + 1 = 0 \quad \text{and} \quad x - y = 1$

Answer 1

For the first equation $x + y + 1 = 0$: Substitute $x = -4$ and $y = 3$:

$(-4) + 3 + 1 = 0$

This is true, so the point lies on the first line.

For the second equation $x - y = 1$: Substitute $x = -4$ and $y = 3$:

$(-4) - 3 = -7$

This is false, so the point does not lie on the second line.

Thus, the point $(-4, 3)$ lies on the first line but not on the second line.