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Write a system of two equations in two variables to solve the problem.

A law firm hired several workers to help finish a large project. From the following billing records, determine the daily fee charged by the employment agency for a clerk-typist and for a computer programmer. (Assume a = 727 and b = 1034.)
Clerk-typist	$
Computer Programmer 	$

We are tasked with determining the daily fee charged for a clerk-typist and a computer programmer based on the given billing records.

Let:
- $ x $ be the daily fee for a **clerk-typist**,
- $ y $ be the daily fee for a **computer programmer**.

From the provided table:

### Monday (3/22):
- 3 clerk-typists: K. Amad, B. Tran, S. Smith.
- 2 programmers: T. Lee, C. Knox.
  
The total cost for Monday is represented as $ a = 727 $.

Thus, the equation for Monday is:
\[
3x + 2y = 727
\]

### Tuesday (3/23):
- 3 clerk-typists: K. Amad, B. Tran, S. Smith, W. Morada (which still counts as 3 clerk-typists total).
- 3 programmers: T. Lee, C. Knox, B. Morales.

The total cost for Tuesday is represented as $ b = 1034 $.

Thus, the equation for Tuesday is:
\[
3x + 3y = 1034
\]

### System of equations:
1. $ 3x + 2y = 727 $
2. $ 3x + 3y = 1034 $

You can solve this system to find the values of $ x $ (clerk-typist daily fee) and $ y $ (programmer daily fee).

Would you like me to solve this system of equations for you?

Here are some related questions:
1. How can we use substitution to solve this system of equations?
2. How can we use elimination to solve this system of equations?
3. How do the solutions relate to each worker's cost?
4. Can this system be represented graphically?
5. What other scenarios could this kind of system be used for?

**Tip:** Elimination works well for systems where one variable can be canceled easily.

A law firm hired several workers to help finish a large project. From the following billing records, determine the daily fee charged by the employment agency for a clerk-typist and for a computer programmer. (Assume a = 727 and b = 1034.) Clerk-typist $ Computer Programmer $

Learn how to solve a system of equations to determine the daily fees for clerk-typists and programmers based on a law firm's billing records. This problem uses algebra and system of equations solving techniques, such as the elimination and substitution methods. Suitable for Grades 9-12.

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