Question

What are the determinants for solving this linear system? 5x + 3y = 17 −8x − 3y = 9 |A| = |Ax| = |Ay| =

Answer 1

For this case we have the following system of equations:

$5x + 3y = 17\\-8x - 3y = 9$

We can Rewrite the system of equations of the form:

$Ax = b$

Where,

A: coefficient matrix

x: incognita vector

b: vector solution

We have then:

$A=\left[\begin{array}{ccc}5&3\\-8&-3\end{array}\right]$

$x=\left[\begin{array}{ccc}x\\y\end{array}\right]$

$b=\left[\begin{array}{ccc}17\\9\end{array}\right]$

Then, the determinant of matrix A is given by:

$|A|=(5)(-3)-(3)(-8)$

$|A|=-15+24$

$|A|=9$

Answer:

The determinants for solving this linear system are:

$|A|=9$

Answer 2

Answer:

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Step-by-step explanation: