To determine the hourly wages for babysitting (x) and tutoring (y), we can set up a system of equations based on the provided information.
On Monday, the student earned a total of $165 for 4 hours of babysitting and 3 hours of tutoring. This can be expressed with the equation:
\[ 4x + 3y = 165 \]
On Tuesday, the student earned $115 for 3 hours of babysitting and 2 hours of tutoring. This can be expressed with the equation:
\[ 3x + 2y = 115 \]
So, the correct equations to use are:
- \( 4x + 3y = 165 \) (Monday's earnings)
- \( 3x + 2y = 115 \) (Tuesday's earnings)
So, the answer is:
- 4x + 3y = 165
- 3x + 2y = 115
You should not use the other equations provided (i.e., \( 4x + 3y = 115 \) or \( 3x + 2y = 165 \)) as they do not correspond to the given scenarios.