In 1750, Gabriel Cramer discovered a simple formula for the solutions of a linear system involving the notion of a determinant. Cramer's rule, applied to the system 3x + y = 2 5x + 2y = 7 2 1 3 2 7 2 5 7 states that * = and y = 3 1 3 1 5 2 5 2 Thus the solution is: = and y = Gabriel Cramer 1704-1752 For the general system ax + by = e cx + dy = f the solution is C = and y = Note: write out the determinants as polynomials expressions in a, b, c, d, e, f