Solving linear simultaneous equations using the substitution method is particularly effective when one of the equations can be easily rearranged to express one variable in terms of the other and prepares students for using the same method when they come to solve a pair of simultaneous equations when one is linear and one is a quadratic.
Section A is a fill the gaps task designed to guide learners through the method.
Students will solve 4 further simultaneous equations in section B. Here, no rearranging is required.
Then in section C, students are shown two different methods for rearranging one of the equations and are asked to consider which is most effective. The aim here is to aid them when deciding which equation to rearrange prior to substitution.
There are then 6 pairs of simultaneous equations to solve in section D where one equation needs to be rearranged first.