Jjessicaa
Jjessicaa Jjessicaa
  • 14-01-2017
  • Mathematics
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If 3 times a number is increased by 22, the result is 14 less than 7 times the number. What is the number

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apologiabiology
apologiabiology apologiabiology
  • 14-01-2017
number is x
3 times of x is increased by 22, that euals 14 less than 7 times x
3x+22=-14+7x
minus 3x both sides
22=-14+4x
add 14 to both sides
36=4x
divide both sides by 4
9=x
the number is 9
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arthurpdc
arthurpdc arthurpdc
  • 14-01-2017
If our number is [tex]x[/tex], we obtain by the statement:

[tex]3x+22=7x-14\\\\ 3x+22-7x=-14\\\\ 3x-7x=-14-22\\\\ -4x=-14-22\\\\ -4x=-36\\\\ x=\dfrac{-36}{-4}=\dfrac{36}{4}\\\\\boxed{x=9}[/tex]
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