When you're working on non-linear simultaneous equations in AS-Level math, there are some helpful techniques you can use. Here are a few that might make things easier for you:

1. Graphical Method: This means drawing the equations on a graph. By doing this, you can see where the lines or curves cross each other. Those crossing points are the solutions to the equations!

2. Substitution Method: If you can rewrite one equation to show one variable in terms of the other, this is a great approach. For example, if you have $y = x^2$ and $y = 2x + 3$, you can take $y = x^2$ and put it into the second equation.

3. Elimination Method: In this method, you can add or subtract the equations to get rid of one variable. It works well if you can change the equations so they look similar.

4. Numerical Methods: Techniques like the Newton-Raphson method can be super helpful for tough equations. This method helps you find solutions by making close guesses and improving them step by step.

Trying out these different methods can really help you feel more confident and improve your problem-solving skills!