Question

The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists. 1 0 -2 -9 0 1 3 6 00 0 0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. X= and z- (Simplify your answers.) B. There are infinitely many solutions. If z is allowed to be any real number, then x = (Type expressions using z as the variable.) OC. There is no solution and y

Answer 1

1o-2-g 0 1 3 O matrix reduced an echelen tom geven Let [AB] = O 21-9 013 13 here Rank of Fall) = RankLAJ given System has a folution and also Rank CAIB] = ROOKCA) = 2. < number of unkraons so given system has infinitely many solutions Now we find solutions 3 -9 Xtoy-22) okt4+3 z Too be 2-22=-9 4+2=6 from equation 4= 6-32 2 FIR from ① x=-9+22 ZEIR solution is -9+22] 6-32 ZER {fill 122 3 Z ZER Y 2 9 2 +2 ZER u=-9422 y = 6-32, 2=2 ZOIR