SOLUTION: One number is 5 less than another. Five times the smalller number is 1 less than 3 times the larger. Find the numbers.

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Question 240462: One number is 5 less than another. Five times the smalller number is 1 less than 3 times the larger. Find the numbers.
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
x = a number
x-5 = the other number
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So our equation becomes:
5x=3%28x-5%29-1
Now solve for x to find one of the numbers.
5x=3x-15-1
5x=3x-16
5x-3x=-16
2x=-16
x=-16%2F2
x=-8
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Now find the other number by plugging this value in x-5.
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Remember to check your answers by plugging both numbers in the original equation. Both sides must equal to each other, otherwise you've done something wrong.
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Done! :)