solve y=x+1 -x+y=3
Systems with no solution
y=x+1
-x+y=3
Solve the second equation for y:
-x + y = 3
y = x + 3
You now have two equations,
y = x + 1
y = x + 3
When given two equations like this, you are expected to
solve them to find a common solution, where the two
lines intersect. However, in this case, the two lines
are parallel, because both of them have a slope of +1.
They never intersect, therefore there is no solution.