Suppose a linear operation �/� is defined so that:

5 / = 11;

8 / = 17;

12 / = 25.

What is *n* if *n* / = 35?

We notice that:

5 | → | 11 = 2 ⋅ 5 + 1 |

8 | → | 17 = 2 ⋅ 8 + 1 |

12 | → | 25 = 2 ⋅ 12 + 1 |

x |
→ | 2x + 1 |

If 2*x* + 1 = 35, then 2*x* = 34 and *x* = 17.