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## Homework Statement

solve for x using the expansion method

x + y + z =1

x + y + 2z =2

x + y + 3z = 1

## Homework Equations

none

## The Attempt at a Solution

1 1 1 1 1

1 1 2 1 1

1 1 3 1 1

1 1 1 1 1

1 1 2 1 1

1 1 3 1 1

1 1 1 1 1

1 1 2 1 1

1 1 3 1 1

(1)(1)(3) + (1)(2)(1) + (1)(1)(1) - (3)(1)(1) + (1)(2)(1) + (1)(1)(1)

(3)+(2)+(1) - (3)(2)(1)

=6 - 6

= 0

would this be undefined then?