Cramer's Rule

[GWS]

How do I solve the following system using Cramer's Rule?
Also, who is Cramer?

T + D = 41/3
T - D = 29/12

 

[galactus]

Gabriel Cramer was a Swiss mathematician who lived from 1704 to 1752. He got killed falling from a carriage at the age of 48.


Let A=\(\displaystyle \left[\begin{array}{cc}1&1\\\1&-1\end{array}\right]\)

\(\displaystyle A_{2}=\left[\begin{array}{cc}1&\frac{41}{3}\\\1&\frac{29}{12}\end{array}\right]\)

\(\displaystyle A_{1}=\left[\begin{array}{cc}\frac{41}{3}&1\\\frac{29}{12}&-1\end{array}\right]\)

Now take:

\(\displaystyle \frac{Det(A_{1})}{Det(A)}=x_{1}\)and

\(\displaystyle \frac{Det(A_{2})}{Det(A)}=x_{2}\)

 

[GWS]

ok

Thank you for your help and for the information regarding Cramer's life.