I have been stumped on this particular question wherein we have an equation of a circle and equation of a hyperbola and it needs to be solved via elimination method. Solving the question graphically is quite easy, however the algebraic solution has stumped me
$x^2+y^2-3x=9$;
$x^2-y^2+x+4y=3$
Above are the system of non- linear equations.
Best Answer
Hint...you can eliminate $x^2$ by subtracting these and get $x$ in terms of $y$.
Substitute this into the first equation and get a quartic in $y$, namely
$$y^4-4y^3-4y^2+24y-9=0$$ which is readily solvable.