(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve the system:

ax1+3x2+x3= y1

ax2= y2

-5x1+ax2-x3=y3

using cramer's rule for those a such that the det of A is not 0

2. Relevant equations

x1= det(A1)/det(A)

det(A1)=a11+c11+a21c21+a31c31

and A1=

y1 3 1

y2 a 0

y3 a 1

3. The attempt at a solution

By using those equations I got the det(A1) to go ay1+(-3+a)y2-ay3

and the det(A) was a[itex]^{}2[/itex]-5a

and x1=(ay1+(-3+a)y2-ay3)/a[itex]^{}2[/itex]-5a

But that was counted wrong. I don't understand where I went wrong since I have doublechecked my calculations

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# Linear Algebra Cramer's Rule

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