5y^2 +2axy+b=0 ay^2 +2bx+5c=0 (5x+3a)y^2 +(4ax^2 )y−bx−5c=0 5y^2 −x(5x+2a)y−ax^3 −3b=0 Please solve simultaneously for x and y such that all four equations are obeyed.


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Question Number 67997 by ajfour last updated on 03/Sep/19

$5 y^{2} + 2 a x y + b = 0$ ${a y}^{2} + 2 b x + 5 c = 0$ $(5 x + 3 a) y^{2} + (4 {a x}^{2}) y - b x - 5 c = 0$ $5 y^{2} - x (5 x + 2 a) y - {a x}^{3} - 3 b = 0$ $P l e a s e s o l v e s i m u l t a n e o u s l y$ $f o r x a n d y s u c h t h a t a l l f o u r$ $e q u a t i o n s a r e o b e y e d .$
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