Why does Sage not solve the equation? (The quadratic equation is just a
test.)
sage: x,y,a,b = var('x, y, a, b')
sage: solve([x - 2*y == a, x + 3*y == b],[x,y]);
sage: solve([x^2 + a*x + b == 0],x)
[x == -1/2*a - 1/2*sqrt(a^2 - 4*b), x == -1/2*a + 1/2*sqrt(a^2 - 4*b)]
sage: solve([x - 2*y - a == 0, x + 3*y -b == 0],[x,y]);
sage: solve([x - 2*y - a == 0, x + 3*y -b == 0],x,y);
sage:
Maxima delivers the solution:
2 b + 3 a a - b
(%o2) [[x = ---------, y = - -----]]
5 5
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