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.Com
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)   (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

RELATED QUESTIONS

the sum of two numbers is 21. the smaller number is three more than half the larger... (answered by macston)
Two numbers have a difference of 14. If the larger number is increased by 5 and the... (answered by jorel1380,MathTherapy)
The sum of two numbers is 19, and their difference is 1. Let x be the larger number and y (answered by ikleyn)
Solve the following problems by defining the variable, writing a quadratic equation,... (answered by stanbon)
The difference between two numbers is 9. Six times the larger number is 15 times the... (answered by Maths68)
The difference between two numbers is 12. Five times the larger number is 17 times the... (answered by Timnewman)
The sum os two numbers is 95. If the larger is increased by twice the smaller number the... (answered by checkley77)
solve by writing and solving an equation The larger of two numbers is three times the... (answered by TimothyLamb)
Writing and solving two step equations: Translate the statement into an equation. Then... (answered by checkley77)