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The problem presented in the image is about a soccer tournament where each team plays 19 matches. Points are awarded as follows:

- A win gives 3 points.
- A draw gives 1 point.
- A loss gives 0 points.

The team "Olympus" accumulated a total of 28 points by the end of the tournament. The question asks how many matches the team drew.

Let's denote:
- \( x \) as the number of wins.
- \( y \) as the number of draws.
- \( z \) as the number of losses.

From the problem:
- The total number of matches is \( x + y + z = 19 \).
- The total points accumulated is \( 3x + y = 28 \).

Now, we can solve this system of equations. 

1. Express \( z \) in terms of \( x \) and \( y \):
   \[
   z = 19 - x - y
   \]
2. Use the equation for points:
   \[
   3x + y = 28
   \]
   Solve for \( y \):
   \[
   y = 28 - 3x
   \]
3. Substitute \( y = 28 - 3x \) into the equation for the total number of matches:
   \[
   x + (28 - 3x) + z = 19
   \]
   \[
   -2x + 28 + z = 19
   \]
   Simplifying further:
   \[
   z = 2x - 9
   \]

Since \( z \geq 0 \) (a team cannot lose a negative number of matches), this implies:
   \[
   2x - 9 \geq 0 \implies x \geq 4.5
   \]

Thus, \( x \geq 5 \). Let's calculate \( y \) for integer values of \( x \):

- If \( x = 5 \):
   \[
   y = 28 - 3(5) = 28 - 15 = 13
   \]
   \( z = 2(5) - 9 = 10 - 9 = 1 \)

So, the team "Olympus" had 5 wins, 13 draws, and 1 loss.

### Answer:
The team "Olympus" drew **13 matches**.

Do you want details or have any questions?  
Here are five questions that extend this topic:
1. What would the situation be if the team had 30 points instead of 28?
2. How would the result change if each win provided 2 points instead of 3?
3. What if the team played 25 matches with the same point rules?
4. How many matches would they need to win to secure at least 40 points?
5. If the points for a draw increased to 2, how many matches could they lose?

**Tip:** In problems involving systems of equations, substituting one equation into another often simplifies finding the solution.

Em um campeonato de futebol, cada time joga exatamente 19 partidas no total. Cada vez que um time ganha, acumula 3 pontos. Quando empata, ganha somente 1 ponto. Ao fim do torneio, o time Olympus conseguiu um total de 28 pontos. Considerando as opções seguintes, quantas vezes o time Olympus empatou?

Learn how to determine the number of draws a soccer team had in a 19-match tournament where the team accumulated 28 points. This problem involves solving a system of linear equations. Suitable for students in Grades 7-9.

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