8.Compute the value of 9x2 + 4y2 if xy = 6 and 3x + 2y = 12.

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Heading 1: The Problem at Hand - Unraveling the Equation: Let's tackle the given mathematical problem: Compute the value of 9x² + 4y² if xy = 6 and 3x + 2y = 12. Our seasoned tutors at UrbanPro are well-equipped to guide students through such challenges.

Heading 2: Step-by-Step Solution - Navigating the Equation Maze: To solve the problem, we follow a systematic approach:

Sub-heading 1: Expressing y in terms of x:

• Utilize the given information, xy = 6.
• Substitute xy = 6 into the equation 3x + 2y = 12.
• Solve for y in terms of x.

Sub-heading 2: Substitution into the Expression:

• Once y is expressed in terms of x, substitute the value into the expression 9x² + 4y².
• This substitution simplifies the expression and facilitates further calculations.

Sub-heading 3: Simplification and Calculation:

• After substitution, simplify the expression and perform the necessary calculations.
• This step-by-step approach ensures accuracy and clarity in arriving at the final result.

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