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Question
If `2[(3, x),(0, 1)] + 3[(1, 3),(y, 2)] = [(z, -7),(15, 8)]`; find the values of x, y and z.
Solution
`2[(3, x),(0, 1)] + 3[(1, 3),(y, 2)] = [(z, -7),(15, 8)]`
`[(6, 2x),(0, 2)] + [(3, 9),(3y, 6)] = [(z, -7),(15, 8)]`
`[(9, 2x + 9),(3y, 8)] = [(z, -7),(15, 8)]`
Comparing the corresponding elements, we get,
2x + 9 = –7 `=>` 2x = –16 `=>` x = –8
3y = 15 `=>` y = 5
z = 9
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