Question

Solve the pair of equations :
2/x + 3/y = 13
5/x - 4/y = - 2

Answer 1

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Answer 2

Take 1/X = a, and 1/y = b.

Assigning new variables, the new equations are:

2a + 3b = 13

5a - 4b = -2


Solving them, gives

a = 2, and b = 3

So, Now x = 1/a = 1/2

and y = 1/b = 1/3