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1.
Edith and Daniel are solving the same equation: 3(2x+1)= 3(x+5) + 6.
The table below shows their FIRST step in solving the equation.
Edith says:
In Step 1 of solving this problem, I will divide
everything in the equation by 3 to get:
(2x + 1) = (x + 5) +2
Daniel says:
In Step 1 of solving this problem, I will multiply 2 by
each term inside the parenthesis to get:
6x +3=3x + 15 +6
1a) Mr. Doty gives them both full credit for completing the problem correctly. How is this possible?
*We already know they arrive at the same correct answer. How else can you explain why both methods work?