The sum of two numbers is 15. one number is 7 less then the other. what are the two numbers

One number is 4, the other is 11

Step-by-step explanation:

"The sum of two numbers is 15" can be written as

 x + y = 15       where x is one number, and y is the other.  Their sum is 15

"one number is 7 less then the other' can be written as

x = y - 7            x is one number that is 7 less than the other

Now we know x = y - 7.  We can plug that into the first equation x + y = 15 and solve...

The first equation is now...

y - 7 + y = 15                      ('x' is substituted for y - 7)

Now solve...

 2y - 7 = 15                    (combine like terms)

       2y = 22            (add 7 to both sides to isolate the term with the variable)

          y = 11                  (divide both sides by 2 to isolate the variable)

If y = 11, then

x + 11 = 15                      (the 'y' in the first equation becomes 11)

Then x = 4                (subtract 11 from both sides to isolate x)

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !