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Question
Find x and y if `[(-3, 2),(0, -5)] [(x),(2)] = [(5),(y)]`
Solution
`[(-3, 2),(0, -5)] [(x),(2)] = [(5),(y)]`
⇒ `[(-3x, 4),(0, -10)] = [(-5),(y)]`
⇒ `[(-3x , +4),(0, -10)] = [(-5),(y)]`
Comparing the corresponding elements
–3x + 4 = –5
⇒ –3x = –5 – 4 = –9
∴ x = `(-9)/(-3)` = 3
–10 = y
⇒ y = –10
Hence x = 3, y = –10.
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