Math  /  Algebra

QuestionGiven the system of equations: {x+y+z=4y3z=52x+y+5z=2\left\{\begin{array}{l} x+y+z=-4 \\ y-3 z=-5 \\ 2 x+y+5 z=-2 \end{array}\right. (a) Determine the type of system: inconsistent dependent (b) If your answer is dependent, find the complete solution. Write x,yx, y, and zz as functions of zz, where z=zz=z.
If your answer is inconsistent, write DNE in the box for all three variables. x=y=z=\begin{array}{l} x=\square \\ y=\square \\ z=\square \end{array}

Studdy Solution
Since the system of equations is inconsistent, there's no solution.
So, we write DNE (Does Not Exist) for each variable:
x=DNEx = \text{DNE}y=DNEy = \text{DNE}z=DNEz = \text{DNE}

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