santiagodiaz727 santiagodiaz727
  • 24-01-2019
  • Mathematics
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Which number should each side of the equation 3/4x=9 be multiplied by to produce the equivalent equation of x = 12? −3/4 1/4 4/3 4

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sqdancefan
sqdancefan sqdancefan
  • 25-01-2019

Answer:

  4/3

Step-by-step explanation:

The equation should be multiplied by the reciprocal (multiplicative inverse) of the coefficient of x:

  1/(3/4) = 4/3

_____

The product of any number and its multiplicative inverse is 1, the multiplicative identity element. 1 times x is x, so the equation becomes ...

  (4/3)(3/4)x = (4/3)(9) . . . . multiply the given equation by 4/3

  1x = 36/3 . . . . . simplify a bit

  x = 12 . . . . . . . . simplify

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