20. Решите систему уравнений { 6x^2 - 11x = y, 6x - 11 = y.

1. Set the two expressions for y equal to each other: $$6x^2 - 11x = 6x - 11$$.
2. Rearrange the equation into a quadratic form: $$6x^2 - 17x + 11 = 0$$.
3. Solve the quadratic equation. Factoring gives $$(6x - 11)(x - 1) = 0$$. The solutions for x are $$x = 11/6$$ and $$x = 1$$.
4. Substitute the x values back into the second equation ($$y = 6x - 11$$) to find the corresponding y values.
If $$x = 11/6$$, $$y = 6(11/6) - 11 = 11 - 11 = 0$$.
If $$x = 1$$, $$y = 6(1) - 11 = 6 - 11 = -5$$.
The solutions are $$(11/6, 0)$$ and $$(1, -5)$$.