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

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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)   (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:



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

Answer: x=29,  y=23

Edwin

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