This Higher tier GCSE Maths quiz on Simultaneous Equations builds on the previous quiz, have you tried that one yet? Make sure you have mastered the basics of the elimination and substitution methods of solving a system of linear equations before tackling this quiz, which includes quadratics!
When solving simultaneous equations, particularly complicated ones that include a quadratic, it’s always a good idea to consider what the equations look like on a graph. You should recall that the point, or points, where two lines (or curves) intersect is a solution to the system of simultaneous equations. If you can sketch out the curve and the straight line, it will give you an indication of how many solutions there are, and their approximate position on the grid.