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Question
Find x and y, if `2[(1,3),(0, x)]+[(y,0),(1,2)] = [(5,6),(1,8)]`
Sum
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Solution
`2 [(1,3),(0, "x")] + [("y", 0),(1,2)] = [(5,6),(1,8)]`
`=> [(2,6),(0,2"x")] + [("y", 0),(1,2)] = [(5,6),(1,8)]`
`=> [("y"+2, 6),(1, 2"x" + 2)] = [(5,6),(1,8)]`
On comparing the coefficients of corresponding components,
y + 2 = 5
⇒ y = 3
And 2x + 2 = 8
⇒ x = 3
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