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

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(302) (Show Source): You can put this solution on YOUR website!

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

first equation

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:

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

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!

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