Creating an equation with no solutions (Full video)

Khan Academy

Supporting grades: 8

Description: Sal shows how to complete the equation -11x + 4 = _x + _ so that it has no solutions. Created by Sal Khan. So a linear equation with no solutions is going to be one where I don't care how you manipulate it, the thing on the left can never be equal to the thing on the right. If we do something other than 4 here, so if we did say negative 11x minus 11, then here we're not going to have any solutions. If you wanted to solve it algebraically you could add 11x to both sides and both of these terms will cancel out with each other and all you would be left with is a 4 is equal to a negative 11, which is not possible for any x that you pick.

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