SOLUTION: My Algebra homework has the number problem : The sum of two numbers is 15. Three times one of the numbers is 11 less than five times the other. Find the numbers.

Question 700135: My Algebra homework has the number problem : The sum of two numbers is 15. Three times one of the numbers is 11 less than five times the other. Find the numbers.
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the numbers be and
given:
(1)
(2)
-------------------
(2)
Multiply both sides of (1) by
and subtract (2) from (1)
(1)
(2)

and, since
(1)
(1)
(1)
-------------
The numbers are 7 and 8
check:
(2)
(2)
(2)
(2)
OK

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 15. Three times one of the numbers is 11 less than five times the other.
-------
Equations:
x + y = 15
3x = 5y-11
------
Rearrange:
3x + 3y = 3*15
3x - 5y = -11
----
Subtract and solve for "y":
8y = 56
y = 7
=============
Cheers,
Stan H.
=============

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