SOLUTION: The sum of two integers is 50. The larger is 2 more than three times the smaller. Write a system of equations to model this and then solve for the integers

Question 956658: The sum of two integers is 50. The larger is 2 more than three times the smaller. Write a system of equations to model this and then solve for the integers
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of two integers is 50. The larger is 2 more than three times the smaller. Write a system of equations to model this and then solve for the integers.
--------
Equations:
x + y = 50
x = 3y + 2
----------------
Substitute for "x" and solve for "y"::
3y+2 + y = 50
4y = 48
y = 12
-----
x = 50-y = 50-12 = 38
--------------------
Cheers,
Stan H.
------------
RELATED QUESTIONS
The sum of two numbers is 175. The larger number is three more than three times the... (answered by jojo14344)

The sum of two numbers is 175. The larger number is three more than three times the... (answered by Mathtut,KnightOwlTutor)

Solve the problem by writing a system of equations and then solving it. The sum of two... (answered by mananth)

tbe sum of 2 numbers is 39. twice the larger number minus three times the smaller number... (answered by jorel1380)

The largest of 2 integers is one more than three times the smaller. If the sum of the two (answered by elima)

The largest of 2 integers is one more than three times the smaller. If the sum of the two (answered by checkley77)

The largest of 2 integers is one more than three times the smaller. If the sum of the two (answered by sejackson91)

The largest of 2 integers is one more than three times the smaller. If the sum of the two (answered by robertb,mananth)

1. The largest of 2 integers is one more than three times the smaller. If the sum of the... (answered by Cromlix)