1. You are solving simultaneous equations using determinants (Cramer's Rule). 2. To check your work, write down the equations and the determinant matrix you used. 3. Calculate the determinant of the coefficient matrix $$D$$. 4. Calculate the determinants $$D_x$$, $$D_y$$, etc., for each variable by replacing the corresponding column with the constants vector. 5. The solution for each variable is $$x=\frac{D_x}{D}$$, $$y=\frac{D_y}{D}$$, etc. 6. Signs can change based on the determinant values; carefully recompute each determinant and check for arithmetic errors. 7. Please provide the system of equations or your matrices for precise checking.