# Simultaneous Equations

**Example – **

Solve the simultaneous equations

and

.

This example requires solution via substitution, i.e. make either x or y the subject of one equation and insert it into the other. The obvious choice would be to make x the subject of the second equation – it is the quickest, least complicated choice. The second equation tells us that . We can insert this into the first equation: . By multiplying out the brackets and simplifying we see that this is a quadratic equation in y:

This tells us that y has to be either 3 or 1. If , then (from the second equation) and if then .

We obtain the solutions and .

### Past Simultaneous Equations Questions

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### Solomon Simultaneous Equations Questions

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