Question

Solve the following system by hand. List final answers as ordered pairs.

x - y + z = -6

4x - y + 3z = -11

-5x + 2y - z = 12

Answer 1

eliminate one variable

Answer 2

let's eliminate z

x-y+z=-6
z=-6-x+y

Answer 3

x-y+z=-6
y=x+z+6

Answer 4

4x-y+3z=-11
y=4x+3z+11

Answer 5

-5x+2y-z=12
y=5x+z+12/2