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Create your own two-step equation with NO SOLUTION as the solution. Show the steps to solving the equation and explain in words why your work proves that there are NO SOLUTIONS

Mathematics
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by two step do you mean that it only has two operations?
yes
well, the easiest way to think about this is to think of something that is undefined... 0/0 comes to my mind. So then you have to either add that to an equation or represent it as the equation. y=x+0/0 has no solutions. But, im not sure if that is exactly what they're asking for.

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^Thats not what they are asking for. something like 3x+5 = 3x+6 is what they are asking for.
If you try to subtract 3x from both sides you get 5=6, which is a contradiction, so there are no solutions.
From a geometric point of view the lines are parallel (with one line being the other line , shifted up by one unit). Parallel lines will not interest each other so there is no solution.
Just for the heck of it, throw a "... in Euclidean space..." somewhere near the end of your answer. Parallel lines intersect (possibly more than once) in certain non-Euclidean spaces. ;P

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