Answer
The provided statement does not make any sense.
Work Step by Step
The given statement does not make any sense; a determinant will be a square matrix in the form of $n\times n$, i.e., the number of rows are equal to the number of columns or the number of the given equations are equal to the number of variables.
And according to the given statement, the linear system contains 2 rows and 3 columns, which cannot be solved using determinants.
The provided statement does not make any sense.