In Exercises 1–8, write the augmented matrix for each system of linear equations.

Perform the indicated Row Operation.

SWAP $R_1\leftrightarrow R_2$

Perform the indicated Row Operation.

ADD $R_1+2\cdot R_3\rightarrow R_1$

Solve the system of equations by using row operations to write a matrix in REDUCED row-echelon form.

$4x+2y+3z=6$

$x+y+z=3$

$5x+y+2z=5$

Write the system of equations represented by the augmented matrix shown.