1. Which is the best method to use to solve two simultaneous equations?

Look at the equations. If the x and y terms are aligned one above the other on one side of the equation it is probably easier to use the elimination method.

If one of the variables is the subject of one of the equations, it is probably best to use the substitution method.

If one of the variables is the subject of both of the equations, it is probably best to use the comparison method.

2. Is the graphical method a good way of solving simultaneous equations?

If the solution set is two integers e.g. (1, -2) the values are easy to read from a graph but if not, it can be difficult to get accurate values.

3. Which are the two most commonly used methods for solving simultaneous equations?

The elimination method and the substitution method are the most commonly used methods for solving simultaneous equations.