Solve the following equation using Cramer’s rule:
2x+y-z=3; x+y+z=1; x-2y-3z=4
Cramer's Rule is a method used to solve systems of linear equations using determinants. For a system of equations in the form \(Ax + By + Cz = D\), \(Ex + Fy + Gz = H\), and \(Ix + Jy + Kz = L\), the solution for \(x\), \(y\), and \(z\) can be found using determinants involving the coefficients of the equations.
Given the system of equations:
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