This one should be easy. Just want to make sure I'm doing the right thing.
Find the solution of the following equations in $\mathbb{Z}_5$:
a) $x + 4 = 0$
b) $3x = 1$
This one should be easy. Just want to make sure I'm doing the right thing.
Find the solution of the following equations in $\mathbb{Z}_5$:
a) $x + 4 = 0$
b) $3x = 1$
For (a) you just rearrange and work out what the number on the right-hand side is congruent to modulo $5$.
For (b) you find a number $x$ such that $3x$ leaves a remainder of $1$ when you divide it by $5$.
What have you tried? I'm reluctant to give more details until I see some of your working.