Question

3. The system of equations x + 2y + z = 9 & 2x + y + 3z = 7 can be expressed as​

Answer 1

SOLUTION

TO DETERMINE

The system of equations x + 2y + z = 9 & 2x + y + 3z = 7 can be expressed as

EVALUATION

Here the given system of equations are

x + 2y + z = 9 & 2x + y + 3z = 7

Which can be expressed as

$\displaystyle\begin{pmatrix} 1 & 2 & 1\\ 2 & 1 & 3 \end{pmatrix} \displaystyle\begin{pmatrix} x \\ y \end{pmatrix} = \displaystyle\begin{pmatrix} 9 \\ 7 \end{pmatrix}$

Which is of the form AX = B

Where

$A = \displaystyle\begin{pmatrix} 1 & 2 & 1\\ 2 & 1 & 3 \end{pmatrix} \: \: and \: \: X = \displaystyle\begin{pmatrix} x \\ y \end{pmatrix} \: \: and \: \:B= \displaystyle\begin{pmatrix} 9 \\ 7 \end{pmatrix}$

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