SOLUTION: Four times a number minus twice another number is -16. The sum of the two numbers is -1. Find the numbers

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Four times a number minus twice another number is -16. The sum of the two numbers is -1. Find the numbers       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1107876: Four times a number minus twice another number is -16. The sum of the two numbers is -1. Find the numbers

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two numbers be +a+ and +b+
-------------------------
(1) +4a+-+2b+=+-16+
(2) +a+%2B+b+=+-1+
-------------------------
(1) +2a+-+b+=+-8+
Add (1) and (2)
+3a+=+-9+
+a+=+-3+
and
(2) +a+%2B+b+=+-1+
(2) +-3+%2B+b+=+-1+
(2) +b+=+2+
-------------------------
The numbers are -3 and 2
-------------------------
check:
(1) +4%2A%28-3%29+-+2%2A2+=+-16+
(1) +-12+-4+=+-16+
(1) +-16+=+-16+
OK