The product of two numbers is 32. the first number, x, is one-half of the second number, y. which system of equations can be used to find the two numbers? a. xy=32 x=1/2y b. xy=32 x=y-1/2 c. x+y=32 x=y-1/2 dxty=32 x=1/2y

Option A -  xy=32, x=1/2y

Step-by-step explanation:

Given : The product of two numbers is 32. The first number, x, is one-half of the second number, y.            

To find : Which system of equations can be used to find the two numbers.

Solution: Since, first number =x and second number = y

Situation 1 - 'The first number, x, is one-half of the second number, y'.  

Situation 2 - 'The product of two numbers is 32'

The above two situation matches with Option A.

Therefore, Option A is correct → xy=32 x=1/2y

Solving Situation 1 and 2 we get,

Put x value in situation 2

put value of y in x,

Values are → ,  

828. all there is to it!

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