Solve the linear system using the Gauss-Jordan elimination method.3x + 3y +3 = 02x +2y -6 =0The solution of the system is x=,y= (Simplify your answers.)

Given system of equation 3x+3y+3=0−2x+2y−6=0........1 We have to find the solution if the given…

Answered: Solve the linear system using the…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section: Chapter Questions

Problem 6T: Use Gaussian elimination to find the complete solution of the system, or show that no solution...

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Solve the linear system using the Gauss-Jordan elimination method.
3x + 3y +3 = 0
2x +2y -6 =0
The solution of the system is x=
,y= (Simplify your answers.)

Expert Solution

Step 1

Given system of equation

$\begin{matrix} 3 x + 3 y + 3 = 0 \\ - 2 x + 2 y - 6 = 0 \end{matrix}\} ........ (1)$

We have to find the solution if the given system of equations (1) by Gauss-Jordan elimination method.

System of equation (1) can be written as

$\begin{matrix} 3 x + 3 y = - 3 \\ - 2 x + 2 y = 6 \end{matrix}\} ........ (2)$

Write augmented matrix $(A | b)$

$(A | b) = [\begin{matrix} 3 & 3 & - 3 \\ - 2 & 2 & 6 \end{matrix}]$

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Solve the linear system using the Gauss-Jordan elimination method. 3х +3у +3 %0 - 2x +2y -6 =0 The solution of the system is x= y= (Simplify your answers.)