Answer:
The system determinant is 18.
Step-by-step explanation:
Given Equation are:
4x - 2y = 5 (1)
3x + 3y = 7 (2)
The determinant of the two equations, ax - by = X and cx - dy = Y can be written as:
[tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad - bc[/tex] (iii)
In this case,
a = 4
b = -2
c = 3
d = 3
By putting these value in the equation iii, we get:
[tex]\left[\begin{array}{ccc}4&-2\\3&3\end{array}\right][/tex]
=> (4)(3) - (-2)(3)
=> 12 - (-6)
=> 12 + 6
=> 18
Therefore, the system determinant is 18.
