SOLUTION: The sum of two numbers is 78. Their difference is 32.Write a system that describes this situation. Solve by elimination to find the two numbers.

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Question 646751: The sum of two numbers is 78. Their difference is 32.Write a system that describes this situation. Solve by elimination to find the two numbers.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 78
x - y = 32
add the 2 equations together to get:
2x = 110
divide both sides of this equation by 2 to get:
x = 55
substitute in first equation and solve for y to get:
y = 23
those are your answers.
x = 55
y = 23
55 + 23 = 78
55 - 23 = 32