SOLUTION: If one number is equal to two times a second number. Two times the first number plus two times the second number is 24. If you let x stand for the first number and y for the second

Question 175696: If one number is equal to two times a second number. Two times the first number plus two times the second number is 24. If you let x stand for the first number and y for the second, what are the two numbers?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"one number is equal to two times a second number" translates to

"Two times the first number plus two times the second number is 24" means that

So we have the system:

Plug in into the second 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

Divide both sides by 6 to isolate y

Divide

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

Substitute for each

Multiply

So our answer is and which means that the first number is 8 and the second number is 4.

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