Question

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

Answer 1

ANSWER:

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

STEP-BY-STEP 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:

$y=\frac{1}{3}\cdot(x+9)\rightarrow3y=x+9\rightarrow x-3y=-9$