Math Question
![Use Gaussian elimination to find the complete solution to the system of equations, or show that none exists.
\[
\left\{\begin{array}{lr}
3 x+2 y+5 z= & -11 \\
2 x-5 y-4 z= & -17 \\
x+y-z= & 6
\end{array}\right.
\]
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. There is one solution. The solution set is \( \{(,) \),\( } . \) (Simplify your answers.)
B. There are infinitely many solutions. The solution set is \( \{(, z)\} \), where \( z \) is any real number. (Type expressions using \( z \) as the variable. Use integers or fractions for any numbers in the expressions.)
C. There is no solution. The solution set is 0 .](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/4/23/4f38d895-2f2c-463f-9066-5f9b54893e32.jpg "Use Gaussian elimination to find the complete solution to the system of equations, or show that none exists.
\[
\left\{\begin{array}{lr}
3 x+2 y+5 z= & -11 \\
2 x-5 y-4 z= & -17 \\
x+y-z= & 6
\end{array}\right.
\]
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. There is one solution. The solution set is \( \{(,) \),\( } . \) (Simplify your answers.)
B. There are infinitely many solutions. The solution set is \( \{(, z)\} \), where \( z \) is any real number. (Type expressions using \( z \) as the variable. Use integers or fractions for any numbers in the expressions.)
C. There is no solution. The solution set is 0 .")
Solution
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