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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