Respuesta :

Answer:

19

Step-by-step explanation:

Multiplying both sides of the equation by -3, we get an answer of 19

Answer:

Determining the input value of 19, we get 2/3 as an output after evaluating on the given polynomial.

Step-by-step explanation:

Equation:

[tex] \cfrac{2}{3} = - \cfrac{1}3x + 7[/tex]

Find the value of x

  • [tex] \cfrac{2}{3} - 7 = - \cfrac{1}{3} x[/tex]

  • [tex] \cfrac{2 - 21}{3} = - \cfrac{ 1}{3} [/tex]

  • [tex] \cfrac{-19}{3} = \cfrac{ - 1}{3} x[/tex]

  • [tex] \cfrac{ \cfrac{ \cancel- 19}{ \cancel3} }{ \cancel- \cfrac{1}{ \cancel3} } = x[/tex]

  • [tex]x = 19[/tex]

Value of x is 19.

Checking:

When Evaluating x = 19 on the polynomial,

  • f(x) = -1/3 x + 7
  • f(19) = -1/3(19) + 7
  • f(19) = -19/3 + 7
  • f(19) = -19 + 21 /3
  • f(19) = 2/3