One usage of determinants

Algebra Level 2

In solving equations by cramer's rule:

\(\frac { x }{ \begin{vmatrix} 7 & 1 \\ 3 & -1 \end{vmatrix} } =\frac { y }{ \begin{vmatrix} 1 & 7 \\ 1 & 3 \end{vmatrix} } =\frac { 1 }{ 2 } \\ \therefore (x,y)=..........\)

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