Webwork Problems - 5.3 Formulation and Solution in Three or More Variables

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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