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A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of thelarger number and 9. Which equations represent the situation?O X+y= 3 and X-3y =-27O x+y= 3 and X-3y = -9Ox-y-3 and X-3y = -27OX-y=3 and X-3y= -9

User Andersource
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1 Answer

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13 votes

ANSWER:


x-y=3\text{ and }x-3y=-9

Explanation:

In this case we must interpret what they tell us in the statement

"A number, y, is equal to the difference of a larger number and 3" would be:

let x the larger number


y=x-3\rightarrow x-y=3

"The same number is one-third of the sum of the larger number and 9" would be:


y=(1)/(3)\cdot(x+9)\rightarrow3y=x+9\rightarrow x-3y=-9

User Sumner Evans
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