Solve using Determinants and Cramer's Rule?

AI Thread Summary
Cramer's Rule is a mathematical theorem used to solve systems of linear equations using determinants. The discussion centers on applying Cramer's Rule to a specific system of equations to find the value of "a" by evaluating only the denominator of the determinant. The user expresses confusion about how to begin the homework assignment and seeks guidance on the initial steps. Clarification on the application of Cramer's Rule and the calculation of determinants is requested to help set up the problem. Understanding these concepts is essential for successfully solving the equations presented.
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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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Can you tell us what Cramer's rule states?
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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