which of the below pair are conistent pair? (a) x-3y=3, 3x-9y=2 (b) 51x+68y=110, 3x+4y=99 (c) 2x+3y=10, 9x+11y=12 ​

Question

which of the below pair are conistent pair? (a) x-3y=3, 3x-9y=2 (b) 51x+68y=110, 3x+4y=99 (c) 2x+3y=10, 9x+11y=12 ​

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Anna 1 month 2021-08-12T15:41:24+00:00 1 Answer 0 views 0

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    2021-08-12T15:42:44+00:00

    Answer:

    c.Is a consistent pair

    Step-by-step explanation:

    a.x-33y-3=0

    3x-9y-2=0

    a1=1 b1=-3 c1=-3

    a2=3 b2=-9 c2=-2

    a1/a2=1/3 b1/b2= -3/-9 c1/c2= -3/2

    = 3/9

    = 1/3

    Therefore,a1/a2=b1/b2 not equal to c1/c2

    So,it is not consistent

    b.51x+68y-110=0

    3x+4y-9=0

    a1=51 b1=68 c1= -110

    a2=3 b2=4 c2=-9

    a1/a2=51/3 b1/b2=68/4 c1/c2= -110/-9

    =17/1 =17 =110/9

    Therefore,a1/a2=b1/b2 not equal to c1/c2

    so,it is not consistant

    c.2x+3y-10=0

    9x+11y-12=0

    a1=2 b1=3 c1=-10

    a2=9 b2=11 c2=-12

    a1/a2=2/9 b1/b2=3/11

    Therefore,a1/a2 not equal to b1/b2

    so,it is consistent

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