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Jet001 [13]
4 years ago
8

The sum of 3 numbers is 15. two times the smallest is 1 less than the largest, while the sum of the largest and smallest is 10.

use a linear system in three variables to find the three numbers.
Mathematics
1 answer:
GalinKa [24]4 years ago
7 0
Let x = smallest number 
      y = middle number 
      z = largest number 
Equations:
sum of 3 numbers: x + y + z = 15
two times smallest is 1 less than largest: 2x = z - 1
sum of largest and smallest is 10: z + x = 10

z + x = 10 can be solved for z ⇒ z = 10 - x
substitute into 2x = z - 1 ⇒ 2x = 10 - x - 1
                                           3x = 9
                                             x = 3 (divided both sides of equation by 3)
Since z + x = 10 ⇒ z + 3 = 10 ⇒ z = 7
Substitute values for x and z into x + y + z = 15 ⇒ 3 + y + 7 = 15
                                                                                y + 10 = 15
                                                                                y = 5
answer: 3, 5, 7
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I hope my hint helped!!

(If you're really stuck, take 6 times 15)!


Hope this helped!!

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DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!
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Zarrin [17]

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Remember that the slope intercept formula is:

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You can plot the point (0, 8) on a graph. Then to find the next point you will rise up 1 and over right 1 (this is the slope). You can find another point after that by going down one and left one from the point (0, 8)

The graph should look like the one in the image below

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