Evaluate The Expression For X = -3 And Y = -6

Evaluate the expression below for x = -3 and y = -6

Evaluate the given mathematical expression by substituting the given values of x and y: x = -3 and y = -6. The goal is to compute the value of the expression accurately, demonstrating all intermediate steps and calculations to ensure clarity and correctness. This involves identifying the structure of the expression, applying the appropriate order of operations (PEMDAS/BODMAS), substituting the provided values into the expression, and calculating the result step-by-step.

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In mathematical problem-solving, evaluating an expression at specific variable values is fundamental to understanding and applying algebraic concepts. Here, the task involves substituting x = -3 and y = -6 into a given expression and computing the resultant value accurately. Although the specific expression was not provided, the general methodology remains consistent across different types of algebraic expressions.

Initially, the algebraic expression should be identified and understood in its structure, whether it involves addition, subtraction, multiplication, division, exponents, or combinations thereof. Once the expression is clear, substitute the given values carefully into the expression, replacing every occurrence of x and y with their respective numerical values. It is essential to maintain attention to negative signs and the order in which operations are performed to avoid errors, especially when dealing with negatives.

For example, suppose the expression is F = 3x^2 + 2y - xy. Using the substitution x = -3 and y = -6, the calculation proceeds as follows:

  1. Calculate x^2: (-3)^2 = 9
  2. Compute 3x^2: 3 * 9 = 27
  3. Calculate 2y: 2 * (-6) = -12
  4. Calculate xy: (-3) * (-6) = 18

Now, sum these components: 27 + (-12) - 18 = 27 - 12 - 18 = -3

Thus, the evaluated result of the expression F at x = -3 and y = -6 is -3 for this particular example. The key to accurate evaluation is careful substitution and strict adherence to the order of operations, ensuring each calculation step is precise and verified.

When applying this method to any given algebraic expression, the same systematic approach should be followed. This exercise not only reinforces algebraic manipulation skills but also enhances understanding of how variables influence the value of an expression in different scenarios. Mastery of these techniques is essential for solving more complex equations and real-world problems that involve variable substitution and expression evaluation.

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