SOLUTION: one number is 10 less than three times another. Their sum is 14. What are the two number.

Algebra ->  College  -> Linear Algebra -> SOLUTION: one number is 10 less than three times another. Their sum is 14. What are the two number.      Log On


   



Question 1152429: one number is 10 less than three times another. Their sum is 14. What are the two number.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let one number be x and another y
if one number is 10 less than three+times+another, we have
x=3y-10..........eq.1

if their sum is 14, we have
x%2By=14.......eq.2
substitute x from eq.1 in eq.2
3y-10%2By=14.......eq.2
4y=14%2B10
4y=24
y=24%2F4
y=6
go to x=3y-10..........eq.1 substitute y
x=3%2A6-10
x=18-10
x=8

the two numbers are: 8 and 6