Solve the linear system by Gaussian elimination.x

_{1}+ x_{2}+ 2x_{3}= 8

-x_{1}- 2x_{2}+ 3x_{3}= 1

3x_{1}- 7x_{2}+ 4x_{3}= 10

Could someone help me with this step by step?

The augmented matrix is:

[ 1 1 2 8 ]

-1 -2 3 1

3 -7 4 10