Question

find the least positive value of x such that 78 + x + 3 (mod 5)

Answer 1

Step-by-step explanation:

To find the least value of x such that

78+x=3(mod 5)

78+x-3=5n for some integer n.

75+x=5n

75 +x is a multiple of 5.

75+5=80

80 is a multiple of 5.

Therefore , the least value of x must be 5

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