SOLUTION: One number is 3 more than 2 times another. Their product is 14

Algebra.Com
Question 681809: One number is 3 more than 2 times another. Their product is 14
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
One number is 3 more than 2 times another. Their product is 14
------
y = 2x + 3
xy = 14
------
x(2x+3) = 14
2x^2 + 3x - 14 = 0
---
Factors:
2x^2 + 7x - 4x - 14 = 0
------
2x^2 - 4x + 7x -14 = 0
2x(x-2)+7(x-2) = 0
(x-2)(2x+7) = 0
x = 2 or x = -7/2
--------
If x = 2, y = 7
If x = -7/2 , y = -4
Cheers,
Stan H.

RELATED QUESTIONS

One number is 3 more than 2 times another. Their product is 14. Find the... (answered by Fombitz)
One number is 2 more than 5 times another. Their product is 3. Find the... (answered by drj)
One number is 2 more than 5 times another. Their product is 3. Find the... (answered by LtAurora)
One number is 3 more than 2 times another. Their product is 27. Find the numbers. (answered by CubeyThePenguin)
One number is more than 3 times another. Their sum is 21. What is their... (answered by janinecb)
One number is 4 more than 3 times another. Their product is... (answered by ReadingBoosters)
One number is 4 more than 3 times another. Their product is 20. Find the... (answered by TimothyLamb)
One number is 2 more than 5 times another. Their product is 39. Find the... (answered by algebrahouse.com)
One number is 5 more than 2 times another. Their product is 18. Find the numbers. (answered by Fombitz)