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I. ` 7x + 6y + 4z = 122` II. ` 4x+5y + 3z = 88` III. ` 9x+2y + z = 78`A. `x lt y = z `B. ` x le y lt z `C. ` x lt y gt z `D. ` x = y gt z `

Answer» Correct Answer - A
` 7x+6y+4z = 122` …(i)
` 4x+5y+3z = 88` …(ii)
` 9x + 2y + z = 78` …(iii)
By equation (iii) `xx` 3 - equation(ii),
`{:(27x+6y+3z = 234),( 4x + 5y + 3z = " "88),(-" "-" "-" "-),(bar(" "23x+y=146)):}" "` ....(iv)
By equation (iii) ` xx 4 -` equation (i),
`{:(36x+8y+4z=312),(7x+6y+4z=122),(-" "-" "-" "-),(bar(" "29x+2y=190)):}" "` ....(v)
By equation (iv) ` xx 2 -` equation (v),
`{:(46x+2y=292),(29x+2y=190),(-" "-" "-),(bar( " "17x=102)):}" "`...(iv)
` rArr x = 6`
From equation (iv),
` 23 xx 6 +y = 146`
` rArr y = 146 - 138 = 8`
From equation (iii),
` 9 xx 6 + 2 xx 8 + z = 78`
` rArr 54+ 16 - z = 78`
` rArr z = 78 - 70 = 8`
Clearly, ` x lt y = z `


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