Explanation:
[tex]\begin{gathered} Given\text{ that the reduced row echelon form is the following:} \\ \begin{bmatrix}{1} & {0} & -{4} & |{-3} \\ {0} & {1} & -{3} & |-{7} \\ {0} & {0} & {0} & |{0} \\ & & & \end{bmatrix} \end{gathered}[/tex]
Seeing as the last row is all zeroes, we can conclude that the system has many solutions.
The z column is not cleared out so x and y will be defined in terms of z. Therefore, z will be a parameter, i.e any real number.
Correct answer: B
x = -3 +4z
y = -7 + 3z
