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goldfiish [28.3K]
3 years ago
14

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

Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0

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:

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

<u>In this case,</u>

<u />

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.

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