Question

Solve:
2x\equiv 3(mod 5)

Answer 1

Can you solve 2x = 1 (mod 5) ?

Answer 2

nooo lol

Answer 3

does 2*1 = 1 (mod 5)?

Answer 4

no

Answer 5

what about 2*2 = 1 (mod 5)?

Answer 6

no

Answer 7

and what about 2*3 = 1 (mod 5)?

Answer 8

ok x=3

Answer 9

you got it

Answer 10

So 2*3 = 1 (mod 5)

We want that right side to be a 3 instead of a 1, so multiply both sides by 3

Answer 11

y?

Answer 12

2*3 = 1 (mod 5)

3*2*3 = 3*1 (mod 5)

2*(3*3) = 3 (mod 5)

2*9 = 3 (mod 5)

2*4 = 3 (mod 5)

Answer 13

because at the top you wanted to solve 2x = 3 (mod 5)

Answer 14

ohhh i get it

Answer 15

yes, you start with 2x = 1 (mod 5), then you scale appropriately

Answer 16

2*9 = 3 (mod 5)

2*4 = 3 (mod 5)
how did u do this?

Answer 17

9 = 4 (mod 5)

Answer 18

since they both have the same remainder after dividing by 5

Answer 19

9/5 = 1 remainder 4

4/5 = 0 remainder 4

Answer 20

okkkk gotcha

Answer 21

that's great

Answer 22

so x=4 not 3

Answer 23

yes because 2*4 = 8 = 3 (mod 5)

Answer 24

okkkkkk thank youuuuuuuu

Answer 25

you're welcome