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Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • solve 6x + 3y = 7xy and 3x + 9y = 11xy.


  • Options
  • A. x=1, y=3/2
  • B. x=-1, y = 3/2
  • C. x=3/2, y=1/2
  • D. x=1, y= -3/2

  • Correct Answer
  • x=1, y=3/2 

    Explanation

    Given equation are 6x + 3y = 7xy
    ? (6/y) + (3/x) = 7 .....(i)

    And 3x + 9y = 11xy
    ? (3/y) + (9/x) = 11 .....(ii)

    On multiplying Eq. (ii) by 2 and subtracting from Eq. (i), we get
    (6/y) + (3/x) = 7
    (6/y) + (18/x) = 22
    -------------------------
    - 15/x = - 15
    ? x = 1

    On putting this value in Eq. (i), we get
    (6/y) + 3 = 7
    ? 6/y = 4
    ? y = 6/4 = 3/2


  • More questions

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      Find the present worth of a bill of Rs. 2420 due 2 years later at 10% compound interest. Also find the true discount?

    • Options
    • A. Rs. 2000, Rs. 420
    • B. Rs. 2200, Rs. 520
    • C. Rs. 2100, Rs. 460
    • D. None of these
    • Discuss
    • 2. In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

    • Options
    • A. (9, 11, 14)
    • B. (13, 15, 18)
    • C. (17, 19, 22)
    • D. (21, 23, 28)
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    • 3. Find the odd word/letters/numbers pair from the given alternatives.

    • Options
    • A. 41 - 72
    • B. 12 - 30
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    • 4. Find the odd man out. 253, 136, 352, 324, 631, 244

    • Options
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    • 5. Select the odd word from the given alternatives.

    • Options
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    • 6. Select the odd word from the given alternatives.

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    • 7. Find the odd number in the following number series? 24, 4, 13, 41, 151, 640

    • Options
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    • 8. Find the odd term from the given series of numbers ? 125, 127, 130, 135, 142, 153, 165 ?

    • Options
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    • Options
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