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 the larger

number and 9 Which equations represent the situation?
x+y 3 and - 3y -27
Oxxy-3
and-3--
Oy - 3
and-3--27
X-Y-3 and x-3y --9

Answer 1

• Set the larger number as x

"A number, y, is equal to the difference of a larger number and 3."

`y=x-3`

You can rearrange this equation to find the matching answer choice:

`y-x=-3\\x-y=3`

"The same number is one third of the sum of the larger number and 9."

`y=(1)/(3) (x+9)`

You can rearrange this equation to find the matching answer choice:

`y=(1)/(3) x+3\\3y=x+9\\3y-x=9\\x-3y=-9`