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

Answer:

• 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."

$y=\frac{1}{3} (x+9)$

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

$y=\frac{1}{3} x+3\\3y=x+9\\3y-x=9\\x-3y=-9$