## Exam-Style Question on Simultaneous Equations## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 321. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is not allowed.

Two numbers are chosen so that the sum of their squares is 25.

If those numbers are represented by \(x\) and \(y\) they will also satisfy the equation:

$$y-3x=13$$Use an algebraic method to find two possible values of \(x\) and \(y\) .

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If you need more practice try the self-checking interactive exercises called Simultaneous Equations level 7.

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