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Question
Find x and y if
`[( x , 3x),(y , 4y)][(2),(1)] = [(5),(12)]`.
Solution
`[( x , 3x),(y , 4y)][(2),(1)] = [(5),(12)]`
⇒ `[(2x + 3x),(2y + 4y)] = [(5),(12)]`
⇒ `[(5x),(6y)] = [(5),(12)]`
⇒ 5x = 5
⇒ x = 1
and
⇒ 6y = 12
⇒ y = 2.
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