The correct value of x is 13 and the value of y is 10. The correct option is D.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression can be written as below:-
2.31 x 10\(.^x\) = 2,200( 1.05 x 10\(.^y\))
10\(.^x\) / 10\(.^y\) = ( 2200 x 1.05 ) / 2.31
10\(.^{x-y}\) = 1000
10\(.^{x-y}\) = 10³
x - y = 3
it is clear that the difference between the two numbers x and y is 3. In option D, if the value of x is 13 and the value of y is 10 then the difference between them is 3.
Therefore, the correct value of x is 13 and the value of y is 10. The correct option is D.
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