Q. 64.0( 3 Votes )

Solve the followi

Answer :

The given equations are


8x – 3y = 5xy … (1)


6x – 5y = – 2xy … (2)


Dividing both sides of the equation by xy,


= 5 i.e. + = 5 … (3)


= – 2 i.e. + = – 2 … (4)


Let a = and b =.


Equations (3) and (4) become


– 3a + 8b = 5 … (5)


– 5a + 6y = – 2 … (6)


Now, (5) × 5 – (6) × 3


– 15a + 40b – ( – 15a + 18b) = 25 – ( – 6)


– 15a + 40b + 15a – 18b = 31


22b = 31


b =


Substituting b = in (5),


– 3a + 8() = 5


– 3a = 5 – =


a =


When a =, we have =. Thus, x =


When b =, we have =. Thus, y =


(,) is the solution for the given system.


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