Use the Gauss-Jordan method to solve the following system of equations. 3x−4y+4z=10 3x+5y−z=15 12x−7y+11z=45 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is ( _ , _ ,_ ) in the order x, y, z. (Simplify your answers.) B. There is an infinite number of solutions. The solution is ( _ , _, _ ) where z is any real number. (Simplify your answers. Use integers or fractions for any numbers in the expressions.) C. There is no solution.

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Use the​ Gauss-Jordan method to solve the following system of equations.  3x−4y+4z=10  3x+5y−z=15  12x−7y+11z=45  Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.  A. The solution is ( _ , _ ,_ ) in the order​ x, y, z. ​(Simplify your​ answers.)  B. There is an infinite number of solutions. The solution is ( _ , _, _ ) where z is any real number. ​(Simplify your answers. Use integers or fractions for any numbers in the​ expressions.)  C. There is no solution.

cheekabooy · Accepted Answer

Step 1 3x−4y+4z=10 3x+5y−z=15 12x−7y+11z=45 Step 2 By using Gauss-Jordan method solve the system of equations as follows. (3−441035−11512−71145)=(1−434310335−11512−71145)(∴r1=r13) =(1−434310309−5512−71145)(∴r2=r2−3r1) =(1−434310309−5509−55)(∴r3=r3−12r1) =(1−434310301−595909−55)(∴r2=r29) Step 3 On further simplification, (3−441035−11512−71145)=(1016271102701−595909−55)(∴r1=r1+4r23) =(1016271102701−59590000)(∴r3=r3−9r2) Step 4 From the above calculation there are infinitely many solutions. Let z is a real number so, x=11027−1627z and y=59(1+z) Therefore, the solution of the given system of equation is (11027−1627z,59(1+z),z).

Use the Gauss-Jordan method to solve the following system of equations.

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