Let's analyze the equation provided in the problem:
The equation given is \( 13x + 12 = 21 \).
To solve for \( x \), we will isolate \( x \):
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Subtract 12 from both sides: \[ 13x + 12 - 12 = 21 - 12 \] \[ 13x = 9 \]
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Divide both sides by 13: \[ x = \frac{9}{13} \]
Since we are searching for the number of games played last season, and \( x \) must represent a whole number count of games, the equation as interpreted does not correspond to the context of the problem.
However, based on the context of the problem, it's stated that their current season consists of 21 games, which is 12 more than the previous season. We can set up the equation differently:
Let \( y \) be the number of games played last season. The relationship can be written as:
\[ y + 12 = 21 \]
To find \( y \):
- Subtract 12 from both sides: \[ y = 21 - 12 \] \[ y = 9 \]
So, the correct answer should be that they played 9 games last season. However, this option is not listed in your responses.
Given the options provided:
- 27 games
- 33 games
- 7 games
- 11 games
None of the above are correct based on the equation set up.
The problem is misunderstood with incorrect equations. The solution should arrive at 9 based on the provided details. Please review the options or clarify if additional information is available.
1 answer