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## 'From Point to Point' printed from http://nrich.maths.org/

How can you get from $(10,66)$ to $(20,12)$

using only integer multiples of the vectors

$\begin{pmatrix}2\\-3\end{pmatrix}$ and $\begin{pmatrix}3\\2\end{pmatrix}$?

If you liked this problem,

here is an NRICH task which challenges you to use similar mathematical ideas.