To solve this problem, let's define our variables and set up a system of equations based on the information given.

Step 1: Define the Variables

• Let $x$ represent the number of hours Aisha worked landscaping last week.
• Let $y$ represent the number of hours Aisha worked babysitting last week.

Step 2: Set Up the Equations

1. Equation based on the time worked difference:

   • Aisha worked 2 more hours babysitting than landscaping, so: $y = x + 2$

2. Equation based on total earnings:

   • Aisha earns $7 per hour babysitting and $8 per hour landscaping, and her total earnings were $134. Therefore: $8x + 7y = 134$

System of Equations

So, the system of equations is:

y = x + 2 \\ 8x + 7y = 134 \end{cases}$$ This system can be used to solve for $$x$$ and $$y$$, which represent the hours worked landscaping and babysitting, respectively. Would you like me to solve this system? Let me know if you have any questions. --- Here are some related questions to explore: 1. How many hours would Aisha need to work if she only did babysitting to earn the same amount? 2. If Aisha's hourly rate for landscaping increased to $9, how would her total earnings change for the same hours? 3. What if Aisha worked equal hours in both jobs but still earned $134? How would the hours be distributed? 4. How would the system of equations change if she worked 3 more hours babysitting than landscaping? 5. What if Aisha’s total earnings were $150 instead? How would this affect her hours? **Tip:** When creating equations from word problems, carefully translate each piece of information to form logical relationships between variables.