Question

4x - 2y = 5 3x + 3y = 7 What is the system determinant?

Answer 1

The system determinant is 18.

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:

`\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]  = ad - bc` (iii)

In this case,

a = 4

b = -2

c = 3

d = 3

By putting these value in the equation iii, we get:

`\left[\begin{array}{ccc}4&-2\\3&3\end{array}\right]`

=> (4)(3) - (-2)(3)

=> 12 - (-6)

=> 12 + 6

=> 18

Therefore, the system determinant is 18.