Point of intersection of 2 Lines
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Question

Find the point of intersection of the lines $x+y+6=0$ and $x+y+8=0$.

Answer

If the point $P(x,y)$ is the point of intersection, the coordinates $x$ and $y$ must satisfy the two equations

$x+y+6=0$

$x+y+8=0$

There are no values of $x$ and $y$ which satisfy the above two equations.

So, there there is no point of intersectin of the 2 lines.

The two lines are parallel and don't intersect.