Solve by reducing to a pair of linear equations in two variables--

Asked by anppn77 | 10th Mar, 2009, 09:50: PM

Expert Answer:

6x + 3y = 6xy

2x + 4y = 5xy

Dividing both sides of equations by xy assuming x,y to be non zero

we get

6/y+3/x = 6  which is  2/y+1/x = 2

and 2/y+4/x = 5

taking 1/x = u and 1/y = v

we have 2v+u = 2 and 2v+4u = 5
Solving we get u = 1 v = 1/2

So x = 1 and y = 2

Answered by  | 11th Mar, 2009, 05:36: PM

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