SOLUTION: The difference of 2 numbers is 5. Their product is 14. What are the numbers?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The difference of 2 numbers is 5. Their product is 14. What are the numbers?      Log On


   

Question 993048: The difference of 2 numbers is 5. Their product is 14. What are the numbers?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be x and y
x-y+=+5 so x+=+y%2B5
x%2Ay+=+14
%28y%2B5%29%2Ay+=+14
y%5E2+%2B5y+=+14
y%5E2+%2B+5y+-+14+=+0
%28y%2B7%29%28y-2%29=0
y = -7 and y=2 are possible solutions
if y = -7, then x = -2
if y = 2 then x = 7
so there are two sets of solution (-2, -7) and (7,2)