JenetteRumpca594 JenetteRumpca594
  • 04-09-2015
  • Mathematics
contestada

If the product of a number and -7 is reduced by 3, the resulting number is 33 less than twice the opposite of that number. what is the number?

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naǫ
naǫ naǫ
  • 05-09-2015
x - the number

the product of the number and -7 → x × (-7) = -7x
reduced by 3 → -7x-3
the opposite of the number → -x
twice the opposite of the number → 2 × (-x)= = -2x
the product of the number and -7 reduced by 3 is 33 less than twice the opposite of the number → -7x-3=-2x-33

[tex]-7x-3=-2x-33 \\ -7x+2x=-33+3 \\ -5x=-30 \\ x=\frac{-30}{-5} \\ x=6[/tex]

The number is 6.
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