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9 votes
9 votes
How many solutions exist for the given equation?

3x + 13 = 3(x + 6) + 1

User MOHRE
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1 Answer

10 votes
10 votes

Answer:

0

Explanation:

3x+13 = 3(x+6)+1

3x+13=3x+19

13=19

This is never true so there are 0 solutions

If the x's didnt cancel out, you could use the fundemental theorom of algebra, which states that in the simplest form(nothing will cancel out anymore), the highest degree(highest power) on a variable is the number of solutions.

User Aaronmarruk
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3.2k points