SOLUTION: Solve the problem by writing a system of equations and then solving it. The sum of two numbers is 2. If the larger number is 14 more than three times the smaller, find the larger n

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Solve the problem by writing a system of equations and then solving it. The sum of two numbers is 2. If the larger number is 14 more than three times the smaller, find the larger n      Log On


   

Question 669386: Solve the problem by writing a system of equations and then solving it. The sum of two numbers is 2. If the larger number is 14 more than three times the smaller, find the larger number.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the numbers be x & y x greater than y
their sum = 2
x+y=2......................(1)
second condition
x= 3y+14
x-3y=14....................(2)
subtract (2) from (1)
4y=-12
y= -12/4
y=-3
plug y in (1)
x+(-3)=2
x=2+3
x=5
The numbers are 5 & -3