If 12x + 17y = 48 and 17x + 12y = 68 then what is the value of x-y​

Question

If 12x + 17y = 48 and 17x + 12y = 68 then what is the value of x-y​

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Anna 4 weeks 2021-11-03T19:01:40+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-03T19:03:12+00:00

    Given

    12x+17y=48…..×12

    17x+12y=68…..×17

    144x+204y=576

    289x+204y=1156

    −145x=−580

    x=4

    substitute x value in the 1st equation

    12×4+17y=48

    48+17y=48

    17y=0

    then

    x−y=4−0=4

    0
    2021-11-03T19:03:18+00:00

    Step-by-step explanation:

    ANSWER

    12x+17y=48 …(i)

    17x+12y=68 …(ii)

    On adding (i) and (ii) , we get

    29x+29y=116

    29(x+y)=116

    x+y=116÷29

    ⇒x+y=4 ….(iii)

    On subtracting (i) from (ii) , we get

    5x−5y=20

    ⇒x−y=4

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