12x – 10y – 6 = 0 and 18x=6y-7 solve by elimination method .​

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12x – 10y – 6 = 0 and 18x=6y-7 solve by elimination method .​

1 thought on “12x – 10y – 6 = 0 and 18x=6y-7 solve by elimination method .​”

  1. Answer:

    x = -53/54 & y = -16/9

    Step-by-step explanation:

    Given:

               12x – 10y – 6 = 0 or, 12x – 10y =  6   …(i)

               18x = 6y – 7    or,       18x – 6y = -7   …(ii)

    Solution:

    On multiplying 3 into (i) and 2 into (ii)

                 36x – 30y = 18      ….(iii)

                 36x – 12y = -14      ….(iv)

    On substracting (iii) from (iv)

       (36x – 12y) – (36x – 30y) = -14-18

    =>    36x – 36x +30y – 12y = -32

    =>                                 18y = -32

                                           y = -32/18 = -16/9

    On putting y = -16/9 in (i)

       12x – 10*(-16/9) = 6

    =>      12x + 160/9 = 6

    =>                 12x = 6 – 160/9

    =>                  12x = (54 – 160)/9

    =>                   12x = -106/9

    =>                       x = -106/(9*12)

                               x = -53/54

    Therefore, x = -53/54 & y = -16/9.                      ANS.

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