College Algebra With Applications

Cover College Algebra With Applications
College Algebra With Applications
E J Ernest Julius Wilczynski
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5), (0), and (7) as follows: n bi Cx rj &2 Co rz b?, C2 ai rx cx\ ax bi Ci Co ro Co\, ao bo C2 f'3 ''3 ^'a! «3 bz Cz rtl bi ''1 Oo b2 C2 X = 03 bz Cz ai 61 Cl ao bo C2 y^ «3 bz C3 ai bi n «2 bo r-2 as bz rz If i) is different from zero, we may divide both members of each of these equations by D, and thus obtain the solution of (1), (2), and (3) in the form of three fractions. These fractions have as their common denominator the determinant 344 LINEAR EQUATIONS AND DETERMINANTS [Art. 210 D. The ...numerator of the fraction for x is obtained from D by replacing in it the coefficients a^, a^, ag, of x by the right members, r^, r^, rg, of equations (1), (2), and (3). The. Numerator of tlie fraction for y is obtained from D by replac- ing in it the coefficients, hy, h^^ 5g, of y by r^, r^, r^. The numerator of the fraction for z is obtained from D by replac- ing the coefficients, fj, e^, r/g, of z by r^, 7'^, r^.
EXERCISE XCIV Solve the following systems of equations by determinants 3.
4.
5.


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