## Formulation and Solution in Three or More Variables - One Arbitrary Variable

Solve the following system of linear equations:

x+y+4z=3

3x+y+4z=9

Which one of the following statements best describes your solution?:
A. There is no solution.

B. There is a unique solution.

C. There are 3 solutions.

D. There are infinitely many solutions with one arbitrary parameter.

E. There are infinitely many solutions with two arbitrary parameters.

F. There are infinitely many solutions with three arbitrary parameters.

PART 2: Enter your solution below. If a variable is an arbitrary parameter
in your solution, then set it equal to itself, e.g., w=w

## Formulation and Solution in Three or More Variables - Two Arbitrary Variables

Solve the following system of linear equations:

3w+5x+13y+13z=17

w+2x+5y+5z=6

There are infinitely many solutions with two arbitrary parameters:

w=? x=? y=? z=?

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