Create your coefficient determinant by setting and in the pattern above to the coefficients on the variables in your first equation and then setting and to the coefficients on the variables in the second equation. Once you have done that calculate , the value of the coefficient determinant.
The next step is to replace the first column in your coefficient determinant with the two constant values, 5 and -3 in your particular case. Then calculate the value of the determinant, .
Starting fresh with a new copy of the coefficient determinant, replace the SECOND column with the constant values. Then calculate the value of the determinant,
Then Cramer's Rule says: and
Blows up if , but that is not the case for your problem.
John
My calculator said it, I believe it, that settles it
