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.)

Given system of equation

$\left.\begin{array}{c}3x+3y+3=0\\ -2x+2y-6=0\end{array}\right\}\mathrm{........}\left(1\right)$

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

$\left.\begin{array}{c}3x+3y=-3\\ -2x+2y=6\end{array}\right\}\mathrm{........}\left(2\right)$

Write augmented matrix $\left(A|b\right)$

$\left(A|b\right)=\left[\begin{array}{ccc}3& 3& -3\\ -2& 2& 6\end{array}\right]$