2 years ago

Help ill give you 25 points

Mathematics

1 answer:

lisov135 [29]2 years ago

7 0

Answer:

Step-by-step explanation:

3n+2 is divisible by p:

3n + 2 = px

8n+3 is divisible by p:

8n + 3 = py

Solve each equation for n:

n = (px - 2)/3
n = (py - 3)/8

Eliminate n and solve for p:

(px - 2)/3 = (py - 3)/8
8(px - 2) = 3(py - 3)
8px - 16 = 3py - 9
8px - 3py = 7
p = 7/(8x - 3y)

As we see p could get 1 or 7 as natural number. Since 1 is excluded, the only solution is 7, and 8x - 3y must equal to 1.

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