Answer:
-5
Step-by-step explanation:
The given system is
[tex]x + 2y = 5 \\ x - 3y = 7[/tex]
The corresponding coefficient matrix is shown in attachment.
The value of the system determinant, is the determinant of the coefficient matrix.
Which is
[tex] - 3 \times 1 - 2 \times 1 = - 5[/tex]