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

round 8.876 to the nearest whole number

An atom of element X has one more shell of electrons than an atom of beryllium, but it has one less valence electron than beryllium. Which element is element X?

in a direct democracy who votes on government policy

Which is an example of the bottleneck effect? Green beetles move to a new location and build a new colony there. Green beetles survive as birds don't see them

how do landforms affect human life

You have prepared 42 mL of distilled water,18 mL of vinegar and 47 mL of salt water for an experiment. How many milliliters of solution will you have if you fi

62 is 90.5% of what number

Translate the phrase into a math expression. 30 added to a number that is decreased by 5 a. n – 5 + 30 b. 30 – n – 5 c. 30 + 5 – n d. 30 + (n ÷ 5)

What is the simple subject of a tornado shape is like a funnel?

which is a power enjoyed by a stockholder? A. May not get an increase in the amount of one's investment. B. Can increase investament if the price of ones's stoc