Question

Create an equation with no solution and then explain why it has no solution

Answer 1

you can easily do this with a system of linear equations. create 2 parallel lines with different intercepts, they will not cross and therefore the system will have no solution.
if this isn't "an" equation, turn it into a matrix equation.

Answer 2

x+4=x+2 This has no solution because 4 does not equal 2