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blagie [28]
3 years ago
10

What is the sum? x2-9 X+3

Mathematics
1 answer:
VashaNatasha [74]3 years ago
4 0
The sum is x2 - 9x + 3
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Twice the difference of a number and 3 is equal to three times the sum of the number and 2. Find the number.
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<h2>Translating Words into Equations</h2>

We can translate words into numerical equations by replacing certain key words with numbers or operations:

  • <em>twice</em> = multiply by 2
  • <em>difference</em> = subtract
  • <em>a/the number</em> = Let this be <em>x</em>
  • <em>sum</em> = add

<h2>Solving the Question</h2>

We're given:

  • Twice the difference of a number and 3 is equal to three times the sum of the number and 2

Translate into an equation:

  • <u>Twice</u> the <u>difference</u> of <u>a number </u>and 3 is equal to three times the <u>sum</u> of<u> the number</u> and 2
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<h3>Solve for <em>x</em>:</h3>

2(x-3)=3(x+2)\\2x-6=3x+6\\-6=x+6\\x=-12

<h2>Answer</h2>

x = -12

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