I guess there are infinitely many solutions to this. (Not sure though. I don't know how to prove that there are infinitely many solutions. May be use mathematical induction?)

Some of the solutions are:

x | y |

8 | 11 |

18 | 25 |

43 | 60 |

68 | 95 |

I just plotted the graph for 5y = 7x - 1 here - link to get these solutions