SOLUTION: Please help me with this problem: The sum of three numbers is 14. The largest is 4 times the smallest, while the sum of the smallest and twice the largest is 18. Use a linear sy

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me with this problem: The sum of three numbers is 14. The largest is 4 times the smallest, while the sum of the smallest and twice the largest is 18. Use a linear sy      Log On


   

Question 146527This question is from textbook
: Please help me with this problem:
The sum of three numbers is 14. The largest is 4 times the smallest, while the sum of the smallest and twice the largest is 18. Use a linear system in three variables to find the three number. This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of three numbers is 14.
x + y + z = 14
---------
The largest is 4 times the smallest
x - 4z = 0
----------
while the sum of the smallest and twice the largest is 18
2x + z = 18
--------------------
. Use a linear system in three variables to find the three numbers.
------------------
x + y + z = 14
x + 0 -4z = 0
2x+ 0 + z = 18
---------------
Solve by any method to get:
x = 8
y = 4
z = 2
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Cheers,
Stan H.