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I can see that you have uploaded an image from a homework question. Based on the visible content, the problem asks you to calculate the average yearly salaries of individuals with different levels of education. Here's the breakdown:

### Problem Statement:
- The average yearly salary of an individual with a master’s degree is **$51,000** less than **twice** the salary of an individual with a bachelor’s degree.
- Combined, the two individuals (bachelor's and master's) earn a total of **$117,000**.

### Goal:
Find the average yearly salaries for individuals with a bachelor's degree and those with a master's degree.

### Let’s define:
- Let **B** be the salary (in thousand dollars) of an individual with a bachelor's degree.
- Let **M** be the salary (in thousand dollars) of an individual with a master’s degree.

### Based on the problem:
1. **M = 2B - 51** (The salary for a master's degree is $51,000 less than twice the salary for a bachelor's degree.)
2. **B + M = 117** (The combined salary is $117,000.)

### Solving the system of equations:
1. **M = 2B - 51**
2. Substitute **M** from the first equation into the second equation:
   \[
   B + (2B - 51) = 117
   \]
   Simplify the equation:
   \[
   B + 2B - 51 = 117
   \]
   \[
   3B - 51 = 117
   \]
   Add 51 to both sides:
   \[
   3B = 168
   \]
   Divide by 3:
   \[
   B = 56
   \]
   The salary for a bachelor's degree is **$56,000**.

3. Now, substitute **B = 56** into the first equation to find **M**:
   \[
   M = 2(56) - 51
   \]
   \[
   M = 112 - 51 = 61
   \]
   The salary for a master’s degree is **$61,000**.

### Final Answer:
- The average yearly salary for an individual with a bachelor’s degree is **$56,000**.
- The average yearly salary for an individual with a master’s degree is **$61,000**.

Would you like further details or have any questions about this process?

### Related Questions:
1. How do you solve other systems of equations involving salary comparisons?
2. What happens if the difference between the salaries is given as a percentage instead of a fixed amount?
3. How can inequalities be applied in salary-related problems?
4. What are the different methods for solving a system of equations?
5. How would the problem change if the sum of the salaries were different?

### Tip:
Always define your variables clearly and substitute step-by-step to avoid errors when solving systems of equations.

Suppose the average yearly salary of an individual whose final degree is a master’s is $51 thousand less than twice that of an individual whose final degree is a bachelor’s. Combined, two people with each of these educational attainments earn $117 thousand. Find the average yearly salary of an individual with each of the final degrees.

Learn how to calculate the average yearly salaries of individuals with bachelor's and master's degrees using systems of equations. This problem covers key algebraic concepts and linear equations. Suitable for students in Grades 10-12.

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