If [1 2 2 1] [x y] = [5 4] , then value of y is _______

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Last updated at Oct. 22, 2019 by Teachoo
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Question 13 If [โ 8(1&2@2&1)][โ 8(๐ฅ@๐ฆ)] = [โ 8(5@4)], then value of y is _______ [โ 8(1&2@2&1)][โ 8(๐ฅ@๐ฆ)] = [โ 8(5@4)] [โ 8(1ร๐ฅ+2ร๐ฆ@2ร๐ฅ+1ร๐ฆ)] = [โ 8(5@4)] [โ 8(๐ฅ+2๐ฆ@2๐ฅ+๐ฆ)] = [โ 8(5@4)] Therefore, x + 2y = 5 2x + y = 4 Now solving (1) and (2), Doing (2) โ 2 ร (1) (2x + y) โ 2 ร (x + 2y) = 4 โ 2 ร 5 2x + y โ 2x โ 4y = 4 โ 10 y โ 4y = โ6 โ3y = โ6 y = (โ6)/(โ3) y = 2 So, value of y is 2
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