1.

Solve the following systems of equations:x + y = 2xy\(\frac{x-y}{xy}\) = 6, x ≠ 0, y ≠ 0

Answer»

x + y = 2xy

x – y = 6xy

Adding the two equation

⇒ 2x = 8xy

⇒ y = 1/4

Thus,

x + 1/4 = 2 × x × 1/4

⇒ x/2 = - 1/4

⇒ x = - 1/2



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