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Question
Find x and y if `3[(4, x)] + 2[(y, -3)] = [(10, 0)]`
Solution
`3[(4, x)] + 2[(y, -3)] = [(10, 0)]`
`[(12, 3x)] + [(2y, -6)] = [(10, 0)]`
`[(12 + 2y, 3x - 6)] = [(10, 0)]`
Comparing the corresponding elements, we get,
12 + 2y = 10 and 3x – 6 = 0
Simplifying, we get,
y = –1 and x = 2
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