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If bara = bari + 2 barj , barb = - 2 bar...

If `bara = bari + 2 barj , barb = - 2 bari + barj , barc = 4 bari + 3 barj ` find x and y such that `barc = x bara + y barb.`

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Given, ` bar c = x bara + y barb`
or ` 4 bari + 3 barj = x (bari + 2 barj) + y (-2bari + barj)`
or ` 4 bari + 3 barj = (x - 2 y) bari + (2x + y) barj`
Comparing both the sides, we get
` x - 2y = 4`
and ` 2x + y = 3`
Solving the equations , we get
x = 2 and y = - 1
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GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- MARCH 2015-SECTION-II
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