please don’t forget any steps! thank you! don’t mind my answering attempts ### Solving Systems of Equations Using Gaussian Elimination---**Problem Statement:**Solve the system of equations using Gaussian Elimination:1. $ x - 2y + 3z = 1 $2. $ x + 2y - z = 13 $3. $ 3x + 2y - 5z = 3 $**Hint:** Find the Row Echelon Form---**Solution Steps:**1. **Write the system as a matrix:** \[ \begin{bmatrix} 1 & -2 & 3 & | & 1 \\ 1 & 2 & -1 & | & 13 \\ 3 & 2 & -5 & | & 3 \end{bmatrix} \]2. **Perform Gaussian Elimination to reach Row Echelon Form:** - Subtract the first row from the second row: \[ (-x + 2y - z = 13) - (x - 2y + 3z = 1) \rightarrow 4y - 4z = 12 \] Simplifying gives: \[ 4y - 4z = 12 \quad \Rightarrow \quad y - z = 3 \] - Subtract three times the first row from the third row: \[ (3x + 2y - 5z = 3) - 3(x - 2y + 3z = 1) \rightarrow -4y + 14z = 0 \] Simplifying gives: \[ -4y + 14z = 0 \quad \Rightarrow \quad 2y - 7z = 0 \quad \]3. **Further simplification of the equations results in:** \[ x + y + z = 1 \] \[ y - z = 2 \] \[ z = 3 \]4. **Final Solution:** \[ \begin{cases} x + y + z = 1 \\ y - z = 2 \\ z = 3 \end{cases} \]

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Answered: x-2y+3z = 1 O Solve x +2y-z = 13 by…

x-2y+3z = 1 O Solve x +2y-z = 13 by using Gaussian Elimination. (3x + 2y - 5z = 3

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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