SOLUTION: The sum of two numbers is 34 their difference is 18. What are the numbers

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Question 508275: The sum of two numbers is 34 their difference is 18. What are the numbers
Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!
x + y = 34
so
x = 34 -y
.
x -y = 18
so
x = y + 18
.
x=x
so
.
-y + 34 = y + 18
add y to both sides
34 = 2y + 18
subtract 18 from both sides
16 = 2y
2y = 16
divide both sides by 2
y = 8
.
substitute to find 'x'
.
x + 8 = 34
x = 26
.
check using the other equation
.
x -y = 26 -8 = 18
Correct.
.
Answer: x=26, y=8
.
Done.

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