Question

solve the pair of equations by reducing them to pair of linear equation:2u+15v=17uv;5u+15v=16uv

Answer 1

i hope this will useful to u

Answer 2

2u + 15v = 17uv .........(1)
5u + 15v = 16uv .........(2)

now,
subtract eq. 2 from eq. 1

=> (2u + 15v = 17uv) - (5u + 15v = 16uv)
=> - 3u = uv
=> v = -3

put this in eq. 1

=> 2u +15*(-3) = 17u*(-3)
=> 2u - 45 = -51u
=> 2u + 51u = 45
=> 53u = 45
=> u = 45/53

hence, u = 45/53 and v = -3

this is the required solution.....