What is 5÷2(mod 6)
What is 9÷7(mod 7)
What is 6÷5(mod7)

solve the following equations
a) 3 + x =4(mod 5)
b) x² + 1 = 2(mod 7)
c)x² + 1 = 2(mod 4)
d) 2(x - 5) = 2(mod 8)​

Respuesta :

Answer:

(i) 5/2 mod 6

5/2 = x

( cross multiply )

2x = 5

( Find the smallest multiple of 5 that can go in both 2 and 5)

The number = 10

2x = 10

(divide both sides by 2 to make x the subject)

x = 5

Ans: 5 mod 6

(ii) 9/7 mod 7

9/7 = x

( cross multiply )

7x = 9

( Find the smallest multiple of 9 that can go in both 7 and 9)

That no = 63

7x = 63

Divide both sides by 7 to make x the subject)

x = 9

Ans: 9 mod 7

(iii) 6/5 mod 7

6/5 = x

( cross multiply )

5x= 6

( Find the smallest multiple of 5 that can go in both 6 and 5)

No: 30

5x = 30

(D.B.S by 6 to make x subject of the formula)

x = 6

Ans: 6 mod 7

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