I need to solve the system of equations letting z be the parameter

Question

7x+y+7z=-12
-3x+4y+6z=-1

This is suppose to be the right answer
{-47/31-22/31z-43/31-63/31z,z}

I keep getting
{-22/31-47-31z-63/31-43/31z,z}

Answer 1

7x+y+7z=-12
-3x+4y+6z=-1

28x+4y+28z=-48
-3x+4y+6z=-1
subtract bottom eq
31x-22z=-47
x= -47/31 +22/31 z

You can do the x.

Answer 2

7x+4y=-16
6x-4y=-36