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Kisachek [45]
3 years ago
14

Which determinants can be used to solve for x and y in the system of linear equations below?

Mathematics
2 answers:
Elena L [17]3 years ago
4 0

<u>Answer:</u>

The correct answer option is A. |A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}.

<u>Step-by-step explanation:</u>

We are given the following system of linear equations:

-3x+2y=-9

4x-15y=-25

We can create a matrix  AX = b where A is a 2×2 matrix created by the coefficients of x and y and b is a 2×1 matrix formed by the term after equality.

So the correct answer option is:

|A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}

zlopas [31]3 years ago
3 0

Answer:

The right answer is the first answer

Step-by-step explanation:

Look to the attached file

Download docx
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