SOLUTION: One number is 12 more than a another. the sum of the smallest number and twice the larger number is 39. find the larger number x + 12 = y x + 2(y)= 39 Am I on the right tra

Question 109230: One number is 12 more than a another. the sum of the smallest number and twice the larger number is 39. find the larger number
x + 12 = y
x + 2(y)= 39
Am I on the right track for solving this problem?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You set it up perfectly

Start with the given system

Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.

Distribute

Combine like terms on the left side

Subtract 24 from both sides

Combine like terms on the right side

Divide both sides by 3 to isolate x

Divide

Now that we know that , we can plug this into to find

Substitute for each

Simplify

So our answer is and

So our two numbers are 5 and 17

RELATED QUESTIONS
One number is 12 more than another. The sum of the smaller number and twice the larger... (answered by sdmmadam@yahoo.com)

one number is 12 more than another. the sum of the smaller number and twice the larger... (answered by fractalier)

One number is 12 more than another. The sum of the smaller number and twice the larger... (answered by fractalier)

One number is 12 more than another. The sum of the smaller number and twice the larger... (answered by mszlmb)

One number is 12 more than another. The sum of the smaller number and twice the larger... (answered by Nate)

One number is 12 more than another. The sum of the smaller number and twice the larger... (answered by mszlmb)

one number is 12 more than another. The sum of the smaller number and twice the larger... (answered by pwac)

One number is 12 more than another. The sum of the smaller number and twice the larger... (answered by Nate)

One number is 12 more than another. The sum of the smaller number and twice the larger... (answered by jim_thompson5910)