Definition: In mathematics, contraposing is a method of solving systems of linear equations by reducing them to a system with fewer variables. This method is used when the determinant of the coefficient matrix of one equation is zero and the determinant of the coefficient matrix of another equation is not equal to zero. For example, consider two linear equations: 1. ax + by = c 2. cx + dy = e If we set the determinants of these matrices equal to each other (i.e., a