Question

If ax+by= a^2- b^2 and bx=ay solve the equation

Answer 1

Hey Mate ,

Here is the answer ,
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ax + by = a²-b²           ----------------------(i)
bx - ay = 0                 ----------------------(ii)

Multiply (i) with a and (ii) with b

a²x + aby = a³-ab²           ------------(iii)
b²x + aby = 0                  ------------(iv)

Subtract (iv) from (iii)

(a²-b²)x  = a³-ab²
       x     =   a³-ab² 
                   a² - b²

       x     =  a(a²-b²)            =>  x  =  a 
                    a²-b²

Put  x = a  in (ii)

ab - ay = 0
ab = ay
 y = a
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Hope this helped you !!
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