Question

What is the solution to this systems of liner equations y-x=6 y+x=-10

Answer 1

The solution is the point where the two lines intersect (are equal) so y=y and we can say:

6-x=-10-x  upon adding x to both sides:

6=-10

This is never true so there is no solution to this system of equations.  And for this to be true the two lines must be parallel and have different y-intercepts...