Tianak5996 Tianak5996

03-03-2022
Mathematics

contestada

We can find a system of congruences where x≡a (mod 4) x≡b (mod 5) where the solution is x≡7 (mod 20).

Respuesta :

LammettHash LammettHash

03-03-2022

If x ≡ 7 (mod 20), then

x ≡ 7 ≡ 27 ≡ 47 ≡ 67 ≡ 87 ≡ … (mod 20)

or equivalently, x = 7 + 20k for some integer k.

Taken mod 4, we have

x ≡ 7 + 20k ≡ 3 (mod 4)

and mod 5,

x ≡ 7 + 20k ≡ 2 (mod 5)

so that a = 3 and b = 2.

Answer Link

Otras preguntas

there is $100 in my piggy bank. My friend and I went to the mall and i spent $20. How much money do i have now?

which of the following sentences contains a verb phrase? A.I shall be all that I am and more B. the crowed roared as the bull charged. C.I believed every word h

log4(x)+log4(x+15)=2

Cheryl has some oranges. She puts the oranges into p boxes of 3 oranges each and has 2 oranges left. Find the total number of oranges Cheryl has in terms of

what is 140/216 in simplest forms

what is 3\13 times 143 equal

which Enlightment thinker wrote that people in society are bound to one another by an implicit ' social contract,,

How do you say "Some brown spiders"?

events of ww2 that led to UDHR

luke jogged a total of 56.5 miles last week. if luke jogged the same distance,d, each day for 3 days and half that distance on each of the reamaining days, whic