ELIMINATION

in mathematics, the proce of treating a given set of equations so as to deduce from them an equation free from a selected letter, or from several selected letters. For instance, if the system of equations ae + byy + cz = 0, dyx + boy + coz = 0, ast + bgy + cyz == 0, has a solution in which one at least of “x, y, z is different from zero, then Qh; by, Cy Az, O2, C2 3, 93, Ca (See DETERMINANT.) BIBLIOGRAPHY: Burnside and Panton, Theory of Equations; Salmon, Higher Algebra.