To find the system of equations that represents the earnings of the student from babysitting (x) and tutoring (y), we can set up two equations based on the information provided.
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From Monday's work:
- The student worked 3 hours of babysitting and 1 hour of tutoring, earning a total of $80.
- This can be represented by the equation: \[ 3x + 1y = 80 \] or \[ 3x + y = 80 \]
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From Tuesday's work:
- The student worked 4 hours of babysitting and 2 hours of tutoring, earning a total of $130.
- This can be represented by the equation: \[ 4x + 2y = 130 \] or simplifying, \[ 2x + y = 65 \]
However, if we keep the second equation in its original form without simplifying, it would remain: \[ 4x + 2y = 130 \]
So, the system of equations can be represented as:
- \(3x + y = 80\)
- \(4x + 2y = 130\)
Looking at the response options you provided, the equivalent options would need to express these two equations accurately. So the correct system of equations to find x and y would be:
\[ 3x + y = 80 \] \[ 4x + 2y = 130 \]
From the options you gave, the correct choice that represents these equations is:
3x + y = 80 and 4x + 2y = 130.
If the exact format is needed based on your options, it appears there might be some slight mismatches due to how it's presented, hence the particular option that's most closely what we've derived could be:
3x + y = 80 and 4x + 2y = 130, but ensure that they were provided correctly in the options during selection.