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Question
If `2[(3, 4),(5, x)] + [(1, y),(0, 1)] = [(z, 0),(10, 5)]` Find the values of x and y
Solution
`2[(3, 4),(5, x)] + [(1, y),(0, 1)] = [(z, 0),(10, 5)]`
`[(6, 8),(10, 2x)] + [(1, y),(0, 1)] = [(z, 0),(10, 5)]`
⇒ `[(6 + 1, 8 + y),(10 + 0, 2x + 1)] = [(z, 0),(10, 5)]`
⇒ `[(7, 8 + y),(10, 2x + 1)] = [(z, 0),(10, 5)]`
Comparing,
2x + 1 = 5
⇒ 2x = 5 – 1 = 4
∴ x = `(4)/(2)` = 2
8 + y = 0
⇒ y = –8
z = 7
Hence x = 2, y = –8, z = 7.
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