Problem

$\leftarrow \rightarrow$ C D deltamath.com/app/student/solve/19742364/threeDimensionalSystemL. 줄 Student Bookmarks HomelNaviance S \& \& SAT Practice Test \#.. Record: $0 / 1$ Score: o Penalty: None Complete: $72 \%$ Richard Gudoski Linear Systems in 3 Variables (Level 1) May 26, 1:41:51 AM - Watch help video Solve the following system of equations for all three variables. \[ \begin{aligned} -2 x+3 y-4 z & =8 \\ 5 x-3 y+5 z & =-8 \\ 7 x-3 y+3 z & =8 \end{aligned} \] \[ x= \] $y=$ $z=$ Submit Answer attempt 1 out of 3

Solution

Step 1 :First, we use Gaussian elimination method to solve the system of linear equations with three variables x, y, and z.

Step 2 :After solving the system, we get the final answer: \(x = 2\), \(y = -4\), and \(z = -6\).

Step 3 :\(\boxed{x = 2, y = -4, z = -6}\)

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