Unknowns in a column difference

Unknowns in a column difference

Secondary 4
5 marks

Find the values of \(x\) and \(y\) in each equation.

  1. \(\begin{pmatrix}x\\ y\end{pmatrix}-\begin{pmatrix}4\\ -5\end{pmatrix}=\begin{pmatrix}-2\\ 3\end{pmatrix}\)[2]
  2. \(\begin{pmatrix}2y\\ 9\end{pmatrix}-\begin{pmatrix}3\\ x\end{pmatrix}=\begin{pmatrix}7\\ 2x\end{pmatrix}\)[3]

Solution:

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Answer:(a) \(x=2\), \(y=-2\) (b) \(x=3\), \(y=5\)

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