SOLUTION: solve the simultaneous equation x+y = 14 xy = 45

Question 752127: solve the simultaneous equation x+y = 14
xy = 45
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
x+y = 14
xy = 45
Let's work on second equation by setting it to x:
x=45/y
Now substitute in in the first equation:
45/y+y=14
Multiply by y to get:
45+y^2=14y
Subtract 14y and factor:
y^2-14y+45=0
(y-9)(y-5)=0
Solve for y:
y=9
y=5
So now we know x can equal 5 or 9.
Make sense?
RJ
www.math-unlock.com
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