Sage will not solve this system of equations:
x^2 + y^2 == 25
x^2 - y^2 - y == 5 (-y^2)
{{{
sage: var('x y')
sage: solve( [x^2 + y^2 == 25, x^2 - y^2 - y == 5], x,y )
[]
}}}
Yet, save will solve this system of equations:
x^2 + y^2 == 25
x^2 + y^2 - y == 5 (+y^2)
{{{
sage: solve( [x^2 + y^2 == 25, x^2 + y^2 - y == 5], x,y )
[[x == -5*I*sqrt(15), y == 20], [x == 5*I*sqrt(15), y == 20]]
}}}
peace
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