Math  /  Algebra

QuestionSolve the system. If the system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. 2x+2y+3z=5y2z=12x+7z=7\begin{aligned} -2 x+2 y+3 z & =-5 \\ y-2 z & =1 \\ -2 x+7 z & =-7 \end{aligned} The system has one solution. \square \square )}\square)\}
The solution set is {\{ \square \} The system has no solution. The system is inconsistent. The equations are dependent. The system has infinitely many solutions. The system is inconsistent. The equations are dependent.

Studdy Solution
The solution set is {(72,1,0)}\{(\frac{7}{2}, 1, 0)\}.
Since we found a solution, and the problem states there's only one solution, we're done!

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