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The problem reads:

**Tyee is working two summer jobs, making $10 per hour washing cars and $6 per hour walking dogs. Last week Tyee worked twice as many hours walking dogs as he worked washing cars and earned a total of $88. Write a system of equations that could be used to determine the number of hours Tyee worked washing cars last week and the number of hours he worked walking dogs. Define the variables that you use to write the system.**

### Step 1: Define Variables
Let:
- $ x $ = the number of hours Tyee worked washing cars.
- $ y $ = the number of hours Tyee worked walking dogs.

### Step 2: Create the Equations

- **Earnings equation**: Tyee earned $10 per hour washing cars and $6 per hour walking dogs. He earned a total of $88. This gives the equation:
  \[
  10x + 6y = 88
  \]
  
- **Hours equation**: Tyee worked twice as many hours walking dogs as washing cars. This gives the equation:
  \[
  y = 2x
  \]

### Step 3: System of Equations
The system of equations is:
\[
\begin{aligned}
1) & \quad 10x + 6y = 88 \\
2) & \quad y = 2x
\end{aligned}
\]

Would you like me to solve this system of equations or do you have any questions about how the system was created?

### Related Questions:
1. How many hours did Tyee work washing cars and walking dogs last week?
2. How would the system change if Tyee earned a different hourly wage for washing cars?
3. What if Tyee worked a different ratio of hours between the two jobs (e.g., 3 times more hours walking dogs)?
4. How can we graphically represent this system of equations?
5. How would the total earnings change if Tyee worked equal hours for both jobs?

### Tip:
When setting up a system of equations, always look for relationships between quantities and convert them into mathematical expressions for easier solving!

Tyee is working two summer jobs, making $10 per hour washing cars and $6 per hour walking dogs. Last week Tyee worked twice as many hours walking dogs as he worked washing cars and earned a total of $88. Write a system of equations that could be used to determine the number of hours Tyee worked washing cars last week and the number of hours he worked walking dogs. Define the variables that you use to write the system.

Learn how to solve a system of equations to determine the number of hours worked at two different summer jobs. Tyee makes $10 per hour washing cars and $6 per hour walking dogs. The problem involves algebra and systems of equations, ideal for Grades 8-10.

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