In the statement below, the two blanks can be filled by positive single-digit numbers in such a way that the statement is always true:

$$\text{If }2x\equiv y+5\ (\bmod\ 9)\text{, then }x\equiv \underline{\ \ \ }\,y+\underline{\ \ \ }\ (\bmod\ 9).$$What is the product of the two digits that go in the blanks?

35

Explanation:

2x == y+5 (mod 9)

2x * 5 = 10 * x = 1 * x = (y+5) * 5 (mod 9)

(5 is the inverse of 2 (mod 9))

x = 5y + 25 (mod 9)

x= 5y + 7 (mod 9)

5 * 7 = 35

i think its the outcome of people's preferences.

the correct answer is d. the monetary reserve is a set of funds represented in currency, money or similar, saved as a forecast of possible needs or for legal reasons.

the increase or decrease in the monetary base influences in the increase or decrease of the inflation rate. therefore, the excess of monetary reserve will cause the reduction of inflation.