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Savatey [412]
3 years ago
12

A positive number is 5 less than 3 times another. The sum of the smaller number and 4 times the larger is 97. Find the smaller n

umber
Mathematics
1 answer:
Gre4nikov [31]3 years ago
5 0

Answer:

  9

Step-by-step explanation:

The first sentence of the problem can be interpreted two ways. The way that makes the second sentence work out correctly is ...

  'a larger number is 5 less than 3 times a smaller number'

Using x for the smaller number, the two equations that can be written are ...

  • 3x -y = 5
  • x +4y = 97

Adding 4 times the first equation to the second, we get ...

  4(3x -y) + (x +4y) = 4(5) +(97)

  13x = 117 . . . . . simplify

  x = 9 . . . . . . . . divide by 13

The smaller number is 9.

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<h3>ax² + bx + c = 0</h3>

<em>Let's write -9 where we see A</em><em>:</em>

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<em>Let's</em><em> </em><em>write</em><em> </em><em>0</em><em> </em><em>where</em><em> </em><em>we</em><em> </em><em>see</em><em> </em><em>B</em><em>:</em>

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<em>Now we can move on to solving our equation</em><em>:</em><em>)</em>

<em>Let's put the known and the unknown on different sides:</em>

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<em>(</em><em>i</em><em>t goes as a division because it is in the case of multiplying -9 across</em><em>)</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>

<h3>x² = 2/-9</h3>

<em>I could not find the rest of it, but I did not want to delete it for trying very hard. Sorry. It felt like we should take the square root, but I couldn't find it, maybe this can help you a little bit.</em>

<em>Please do not report</em><em>:</em><em>(</em>

<em>I hope I got it right, I'm trying to improve my English a little :)</em>

<h3><em>Greetings from Turke</em><em>y</em><em>:</em><em>)</em></h3>

<h3><em><u>#XBadeX</u></em></h3>
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