https://file.aiquickdraw.com/mathbot/file/17284424429891hkvmiec.jpg

Let's break down the problem to find the correct set of equations.

### Given:
- A player earns **5 points for each win**.
- A player loses **2 points for each loss**.
- The player played a total of **30 games**.
- The player scored a total of **94 points**.

Let:
- \( x \) = number of wins
- \( y \) = number of losses

### First equation:
The total number of games played is 30, so:
\[
x + y = 30
\]

### Second equation:
For each win, the player earns 5 points, and for each loss, the player loses 2 points. The total score is 94 points, so:
\[
5x - 2y = 94
\]

Now, let's compare these with the options in the image:

- **Option A**: 
  \[
  5x + 2y = 30 \quad \text{(incorrect, wrong signs and values)}
  \]
  \[
  x + y = 94 \quad \text{(incorrect, wrong total number of games)}
  \]
  
- **Option B**: 
  \[
  xy = 30 \quad \text{(incorrect, this is not a linear relationship)}
  \]
  \[
  2x + 5y = 94 \quad \text{(incorrect form of equation)}
  \]

- **Option C**:
  \[
  x + y = 30 \quad \text{(correct, total games equation)}
  \]
  \[
  5x - 2y = 94 \quad \text{(correct, total points equation)}
  \]

- **Option D**:
  \[
  x - y = 30 \quad \text{(incorrect, wrong interpretation)}
  \]
  \[
  5x + 2y = 94 \quad \text{(incorrect form)}
  \]

### Conclusion:
The correct set of equations is **Option C**.

Do you have any questions or want further explanation?

Here are 5 related questions to expand your understanding:
1. How would the equations change if the player had played 40 games instead of 30?
2. Can this system of equations be solved graphically? If so, how?
3. How would you solve these equations using substitution or elimination methods?
4. What happens to the points total if the player only wins 20 games?
5. How does the system change if the points for a

In a chess tournament, a player earns 5 points for wins and loses 2 points for losses. A player played 30 games of chess and scored 94 points. Which set of equations can be used to solve this problem?

Learn how to solve a system of equations related to a chess tournament. The problem involves algebraic concepts such as linear equations and a system of equations, where a player earns 5 points for wins and loses 2 points for losses. The player played 30 games and scored 94 points. This solution is suitable for students in Grades 7-9.

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