SOLUTION: The problem is one number is 2 more then 5 times another number their sum is 24. what are the number. I need the steps on how to solve the problem

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Question 235800: The problem is one number is 2 more then 5 times another number their sum is 24. what are the number. I need the steps on how to solve the problem
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let x= " a number"
Let y = "another number"
:
Write an equation for what it says (the word "is" usually means =:
:
"one number is 2 more then 5 times another number" their sum is 24."
x = 5y + 2
:
"their sum is 24"
x + y = 24
x = (24-y); this form for substitution
:
what are the numbers?
:
Substitute (24-y) for x in the 1st equation
24 - y = 5y + 2
:
24 - 2 = 5y + y
:
22 = 6y
y = 22%2F6 = 11%2F3
y = 32%2F3
:
Find x
x = 5y + 2
x = 5(11%2F3) + 2
x = 55%2F3 + 2
x = 181%2F3 + 2
x = 201%2F3
:
:
Check by finding the sum:
201%2F3 + 32%2F3 = 24