ruthiealvarez6320 ruthiealvarez6320
  • 18-09-2017
  • Mathematics
contestada

Prove that for all integers a and b, if a mod 7 = 5 and b mod 7 = 6 then ab mod 7 = 2.

Respuesta :

ghanami
ghanami ghanami
  • 18-09-2017
hello :
if : a ≡ 5 ( mod 7) ....(1)
     b ≡ 6 ( mod 7) ...(2)
(1)×(2) : ab ≡ 30 ( mod 7)
but : 30 = 7×4  + 2  ..... so : 30  ≡ 2 ( mod 7)
then : ab ≡ 2 ( mod 7)
Answer Link

Otras preguntas

the unit of measurement for the slope of the curve is
Please help ASAP 25 pts + brainliest to right/best answer
What is the slope an y-intercept of the equation 3(y-2)+6(x+1)-2=0
Write the equation expressing the relationship "y varies inversely as x." use k as the constant of proportionality. Y = 10 when X = 5 determine K
HELP PLEASE!!! WILL MARK BRAINLIEST!!!
Lena found the greatest common factor (GCF) of 24ab2c3 and 30a2b3c2 to be 6abc2 by using these steps: Step 1: GCF of 24 and 30 is 6 Step 2: Highest shared powe
Tristin is attempting to dive from an 8 foot diving board into a tube that is located 12 feet from the base of the diving board. What should be his angle of dep
9 is to 3 as 4 is to
Solve the following system of equations. 4x + 3y + z = -10 x - 3y + 2z = -8 11x - 2y + 3z = -38
What are antibiotics and how have they improved health