Question

There exists positive integers x, y such that both the expressions (3x + 2y) and (4x - 3y) are exactly
divisible by​

Answer 1

Answer:

Let us eliminate y from a combination of the two

3(3x+2y) + 2( 4x -3y) = 17x

as sum of combination is divisible by 17 so ans is (d) 17 provided one of them is divisible by 17

this can be shown if we have x and y such that 3x+ 2y is divisible by 17

x= 3 , y = 4 satisfies it so (d) is solution

Answer 2

Concept:

The system for naming or representing numbers is known as the number system or numeral system. We are aware that a number is a mathematical value that aids in the measurement and counting of items as well as in several mathematical operations. There are several different number systems used in mathematics, including the decimal, binary, octal, and hexadecimal systems.

Given:

There exists positive integers x, y such that both the expressions (3x + 2y) and (4x - 3y) are exactly divisible by​

Find:

find hte numbers

Solution:

Let's remove y from a synthesis of the two.

3(3x+2y) + 2(4x -3y) = 17x

Given that the combination's sum is divisible by 17, the answer is (d) 17 if at least one of them is.

If we have x and y such that 3x+2y is divisible by 17, we may demonstrate this.

Therefore,X=3 and Y=4 is the answer

#SPJ2