Question

Page:elimination of the above equation​

Answer 1

Answer:

x = 1/5, y = -2.

Step-by-step explanation:

3/x + 4y = 7 => 3 + 4xy = 7x

5/x + 6y = 13 => 5 + 6xy = 13x

7x - 4xy - 3 = 0  ----------- [1]

13x - 6xy - 5 = 0 ----------- [2]

Multiply [1] by 3 and [2] by 2 and subtract from each other.

21x - 12xy - 9 = 0

26x - 12xy -10 = 0

-       +         +

---------------------------

- 5x + 1 = 0

=> x = 1/5

Substitute value of x in [1] to get y.

7(1/5) - 4(1/5)y  - 3 = 0

7 - 4y - 15 = 0  (taking 5 as LCM)

-4y - 8 = 0

=> y = -2.