Question Number 104832 by bemath last updated on 24/Jul/20

 { ((x+y+(x^2 /y^2 ) = 7)),(((((x−y)x^2 )/y^2 ) = 12 )) :}

Answered by john santu last updated on 24/Jul/20

let x = λy → { ((λy+y+((λ^2 y^2 )/y^2 ) = 7)),(((((λy−y)λ^2 y^2 )/y^2 ) = 12)) :}  → { (((λ+1)y + λ^2  = 7)),(((λ−1)λ^2 y = 12)) :}  → ((7−λ^2 )/(λ+1)) = ((12)/(λ^2 (λ−1)))  (7−λ^2 )λ^2 (λ−1) = 12(λ+1)  λ^5 −λ^4 −7λ^3 +7λ^2 +12λ+12 = 0  approximation  λ = −2.484293386  y = −0.558034131  then x = 1.386320501