Math  /  Algebra

QuestionSolve the given system of equations. 3x+2y3z=132x4y+2z=144x5y+4z=16\begin{array}{l} 3 x+2 y-3 z=-13 \\ 2 x-4 y+2 z=-14 \\ 4 x-5 y+4 z=-16 \end{array}
Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution set is {(,,)}\{(\square, \square, \square)\}. (Simplify your answers.) B. There are infinitely many solutions. C. There is no solution.

Studdy Solution
Interpret the results:
The row-echelon form indicates that there are infinitely many solutions, as the system is consistent and the third equation is dependent on the others.
Therefore, the correct choice is:
B. There are infinitely many solutions.

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