Subjects algebra

Summer Jobs 7Aca0E

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1. **State the problem:** Tyee works two jobs: washing cars at 10 per hour and walking dogs at 6 per hour. He worked twice as many hours walking dogs as washing cars and earned a total of 88. 2. **Define variables:** Let $x$ = number of hours washing cars. Let $y$ = number of hours walking dogs. 3. **Write equations from the problem:** Since Tyee worked twice as many hours walking dogs as washing cars: $$y = 2x$$ Total earnings from both jobs is 88: $$10x + 6y = 88$$ 4. **System of equations:** $$\begin{cases} y = 2x \\ 10x + 6y = 88 \end{cases}$$ This system can be used to find $x$ and $y$. 5. **Explanation:** We use $x$ and $y$ to represent hours worked at each job. The first equation relates the hours worked walking dogs to washing cars. The second equation represents total earnings from both jobs. This completes the system setup for the problem.