Use gauss-Jordan elimination to solve the following linear system

Question

-4x + 4y + 5z=9

-2x +2y + z =3

-4x +5y =4

Answer 1

Eliminates x......

-2*equation 2 + equation 1:

3z = 3 ---> z = 1

-2 * equation 2 + equation 3:

y - 2z = -2

y - 2(1) = -2

y - 2 = -2

y = 0

Substitutes, y-0 and z-1. The system becomes:

-4x + 5 = 9

-2x + 1 = 3

-4x = 4

Then -4x = 4

-2x = 2

x = -1

The solution is x=-1, y=0, z = 1

Yes, it checks