OCR Further Additional Pure 2019 June — Question 3

Exam BoardOCR
ModuleFurther Additional Pure (Further Additional Pure)
Year2019
SessionJune
TopicNumber Theory

3
  1. Solve \(7 x \equiv 6 ( \bmod 19 )\).
  2. Show that the following simultaneous linear congruences have no solution. $$x \equiv 3 ( \bmod 4 ) , x \equiv 4 ( \bmod 6 )$$