Solve using Determinants and Cramer's Rule?

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SUMMARY

The discussion focuses on solving a system of linear equations using Cramer's Rule and determinants. The equations provided are: 6a - 4b - 5c - 2d = -5, -7a + 3b + c - 3d = -6, 2a - 6b + 4c + 9d = 9, and 4a + 7b - 8c - 5d = -2. The user seeks assistance specifically in evaluating the denominator of Cramer's Rule to find the variable "a". Understanding the setup of determinants is crucial for this problem.

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  • Understanding of linear equations and systems
  • Knowledge of Cramer's Rule
  • Familiarity with determinants
  • Basic algebra skills
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Homework Statement



I was absent and missed the lecture on Cramer's rule and Determinants and have no idea how to start the homework..

The directions and problem are as follows:

Using Cramer's Rule, set this problem up to find "a". Only evaluate the Denominator. When finished with the Denominator, finalize the answer by putting it into the context: a=?/#

6a -4b -5c -2d = -5
-7a +3b + c -3d = -6
2a - 6b + 4c + 9d = 9
4a + 7b - 8c -5d = -2

Thanks in advanced!
2. The attempt at a solution

I honestly have no idea even where to start.. if someone could help get me started off that would be great.

Thanks!
 
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