Open Ended Special Case Assignment:
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R. J. Van Keuren
Create two multi-step equations, one with no solution, and one with identity as the solution.
Each equation must contain use of the distributive property.
Each equation must have variables on both sides.
Each equation must have like terms on at least one of the sides.
Solve each equation to proving each is either the identity or no solution.
Hint: work backwards from a false or a true statement!
Each equation, with all of the work is worth 5 points.
1. x+2x+1=3x+2+3
3x+1=3x+5
1=-5
no solution
2. x+2x+3+3=3(x+2)
3x+6=3x+6
identity, all real numbers