https://file.aiquickdraw.com/mathbot/file/17260337414382aug1ih8.jpg

The image you've uploaded contains a list of givens, as follows:

1. \( M = C_1 - D \)
2. \( N = C_1 + D \)
3. \( C_2 = 3C_1 + D \)
4. \( C_3 = D + C_1 + S \)

These appear to be mathematical expressions defining certain variables in terms of others. What specific problem or question do you have regarding these expressions?

Would you like me to solve for any variables, or do you have a specific question or operation in mind regarding these equations?

Here are some related questions I can help with:
1. How can we solve for \( D \) using the first two equations?
2. What is the relationship between \( C_2 \) and \( C_3 \)?
3. How can \( S \) be expressed in terms of \( C_1 \) and \( D \)?
4. Can these equations be simplified or rearranged to isolate one of the variables?
5. What are the possible values of \( M \) and \( N \) if \( C_1 \) and \( D \) are given specific values?

**Tip:** When dealing with multiple equations, it can be helpful to look for pairs that can be easily manipulated to eliminate one variable. For example, adding and subtracting equations can simplify the system.

The user uploaded an image with the following expressions:
1. M = C1 - D
2. N = C1 + D
3. C2 = 3C1 + D
4. C3 = D + C1 + S

This problem involves solving a system of linear equations with variables M, N, C1, D, and S. Learn how to manipulate these expressions to find relationships between variables. Suitable for students in Grades 8-10.

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