SOLUTION: The sum of two numbers is 32. The difference between twice the larger number and three times the smaller number is 39. What are the numbers?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of two numbers is 32. The difference between twice the larger number and three times the smaller number is 39. What are the numbers?      Log On


   

Question 563772: The sum of two numbers is 32. The difference between twice the larger number and three times the smaller number is 39. What are the numbers?
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
What you have here is a system of linear equations in two variables.
The variables can be any letters of choice.

I will use a and b.

Here is the system of equations you need:
a + b = 32
2a - 3b = 39
Use the substition method to solve for a and b.
Here's a video clip from yourtube.com that explains how to solve this type of problem.
http://www.youtube.com/watch?v=NQDWhnnEQkI&feature=results_video&playnext=1&list=PLDCB79F19C048E9C5