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Solve simultaneous equations using the inverse matrix

Question 1 of 8

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The following system is to be solved by using the coefficient inverse

The unknown column is ordered as \(u\) then \(v\)

\[\begin{bmatrix} 2 & 1 \\ 5 & 3 \end{bmatrix}\begin{bmatrix} u \\ v \end{bmatrix} = \begin{bmatrix} 14 \\ 38 \end{bmatrix}\]
2 marks

Find the values of \(u\) and \(v\) using the inverse-matrix method