SOLUTION: The sum of two number is 1. Four times the first number equals 2 times the second number. Find the two numbers.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of two number is 1. Four times the first number equals 2 times the second number. Find the two numbers.      Log On


   

Question 694021: The sum of two number is 1. Four times the first number equals 2 times the second number. Find the two numbers.
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's use x & y for the unknowns for the 2 equations:
x + y = 1
4x = 2y
Let's use substitution:
x=1-y
Plug this into the second equation:
4(1-y)=2y
Expand:
4-4y=2y
Add 4y and divide by 6 toget:
y= 4/6 or 2/3
So we know from the first equation:
x= 1/3
Make sense?
RJ
www.math-unlock.com