SOLUTION: Given Amod7=5 Bmod7=6 (A+B)mod7=Y Identify which one of the following options is a valid solution for Y ? -4 5 4 -7

Question 1113998: Given
Amod7=5

Bmod7=6

(A+B)mod7=Y

Identify which one of the following options is a valid solution for Y ?

-4

5

4

-7

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
a = bmodn means that a = b +kn for some integer k
:
Amod7 + Bmod7 = 5 + 6 = 11
:
11mod7 = 4
:
note that 11 = 4 + 7, this is one solution
:
answer is 4
:
note that it can be proved that given Amod7=5 and Bmod7=6 then Amod7 + Bmod7 = (A+B)mod7 = (5+6)mod7
:
can you prove this using the definition of modulus above?
:

RELATED QUESTIONS
Question 4 (Multiple Choice Worth 4 points) (08.03)A set of equations is given... (answered by macston)

Given x≡19(mod5) Identify which one of the following options gives integers... (answered by ikleyn,math_tutor2020)

1. An equation, shown below, represents the rates of three quantities. 2/z = 4/x + 3/y (answered by ikleyn)

1.Determine which,if any,of the given ordered pairs is a solution of 5x+2y=13. a)... (answered by josgarithmetic)

Determine if the argument is valid or invalid. Given a reason to justify answer. If... (answered by kingme18)

Which of the following is a solution of the proportion 2x+3/5=x-2/6? a. -27/4 b. -4 c. (answered by richwmiller)

Help please 1. Which of the following shows that ΔPQS ≅ ΔRQS, when... (answered by MathLover1)

Identify the solution(s) of the system of equations, if any 2x+y=1 x-y=3 is it a) (answered by josgarithmetic)