Use Gaussian elimination with backward substitution to solve the system of linear equations. x + y- z =3 -x+ 3y + 2z = 12 - x + y-5z = 37 Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. O A. The solution set is (Simplify your answers.) O B. There are infinitely many solutions. The solutions are ( z), where z is any real number. (Simplify your answers.) O C. There is no solution.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Use Gaussian elimination with backward substitution to solve the system of linear equations.
X + y- z =3
-x+ 3y + 2z = 12
- x + y-5z = 37
Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.
O A. The solution set is
(Simplify your answers.)
O B. There are infinitely many solutions. The solutions are ( z), where z is any real number.
(Simplify your answers.)
O C. There is no solution.
Transcribed Image Text:Use Gaussian elimination with backward substitution to solve the system of linear equations. X + y- z =3 -x+ 3y + 2z = 12 - x + y-5z = 37 Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. O A. The solution set is (Simplify your answers.) O B. There are infinitely many solutions. The solutions are ( z), where z is any real number. (Simplify your answers.) O C. There is no solution.
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