SOLUTION: How would I translate and solve the following word problem into a pair of linear equations in two variables? The sum of two numbers is 52, and their difference is 6. What are

Algebra ->  Expressions-with-variables -> SOLUTION: How would I translate and solve the following word problem into a pair of linear equations in two variables? The sum of two numbers is 52, and their difference is 6. What are       Log On


   

Question 208392: How would I translate and solve the following word problem into a pair of linear equations in two variables?
The sum of two numbers is 52, and their difference is 6.
What are the numbers?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
How would I translate and solve the following word problem into a pair of linear equations in two variables?
The sum of two numbers is 52, and their difference is 6.
What are the numbers?

x = one number

y = the other number

x+y = sum of the two numbers 
     (just put a + between them to get their sum)

x-y = difference of the two numbers 
     (just put a minus between them to get 
      their difference)

Translate this part of the first sentence:

>>..The sum of two numbers is 52..<<

                        x+y = 52

Now translate this part:

>>..their difference is 6..<<

                        x-y = 6

So you have the system of equations:

system%28x%2By=52%2Cx-y=6%29

Can you solve that? If not post again asking how.

Answer: x=29,  y=23

Edwin