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

  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

$79500

step-by-step explanation: