SOLUTION: the sum of two numbers is 10. one number is 4 more than twice the other number. what are the numbers?

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Question 381197: the sum of two numbers is 10. one number is 4 more than twice the other number. what are the numbers?
Answer by neatmath(300) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be the first number, and y be the second number:

x%2By=10 first equation

x=4%2B2y

x-2y=4 second equation

We can use the elimination method to eliminate the x and solve for y by subtracting the second equation from the first equation to give us:

y-%28-2y%29=10-4

y%2B2y=6

3y=6

y=2

Then just put this value y=2 back into either equation and solve for x:

x%2By=10

x%2B2=10

x=8

Thus, the two numbers are 2 and 8

Notice that if we switched the variables around, we would still end up with 2 and 8 as our answers.

I hope this helps!