(3x+4y-3z)-(2x-6y+7z)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (3x + 4y - 3z) - (2x - 6y + 7z)

This article will guide you through simplifying the algebraic expression (3x + 4y - 3z) - (2x - 6y + 7z).

Understanding the Expression

The expression involves multiple terms with variables (x, y, z) and constants. The minus sign in front of the second parenthesis indicates that we need to subtract each term inside the parenthesis from the terms in the first parenthesis.

Simplifying the Expression

1. Distribute the negative sign:

   • (3x + 4y - 3z) - (2x - 6y + 7z) = 3x + 4y - 3z - 2x + 6y - 7z

2. Combine like terms:

   • x terms: 3x - 2x = x
   • y terms: 4y + 6y = 10y
   • z terms: -3z - 7z = -10z

3. Write the simplified expression:

   • x + 10y - 10z

Final Result

Therefore, the simplified form of the expression (3x + 4y - 3z) - (2x - 6y + 7z) is x + 10y - 10z.

This process demonstrates how to simplify algebraic expressions by applying basic arithmetic operations and combining similar terms.