SOLUTION: the difference of two numbers is 7. The second is 4 less than 2 times the first.What are the two numbers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: the difference of two numbers is 7. The second is 4 less than 2 times the first.What are the two numbers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 124679: the difference of two numbers is 7. The second is 4 less than 2 times the first.What are the two numbers?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Two numbers, so one of them is x and the other is y.
Their difference is 7, so x-y=7

The second, y, is, meaning equals, 4 less than two times the first. 2 times the first is 2x, 4 less than that is 2x+-4, so y+=+2x-4, or in standard form, 2x-y=4


x-y=7
2x-y=4

Multiply the first equation by -1:

-x%2By=-7

Then add the second equation to it

x%2B0y=-3

x=-3

Substitute into the first equation:
-3-y=7

-y=10

y=-10