Keywords:
Equation, variable, value, clear
For this case we have an equation with a variable of the form [tex]y = h (x)[/tex]. Where [tex]h (x) = 3x-19[/tex]. Given the value of[tex]h (x) = 71[/tex], we want to find the value of the variable "x". So, we have:
[tex]h (x) = 3x-19\\71 = 3x-19[/tex]
We must clear "x", for this, we add "19" to both sides of the equation:
[tex]71 + 19 = 3x-19 + 19\\90 = 3x[/tex]
We divide between "3" on both sides of the equation:
[tex]\frac {90} {3} = \frac {3x} {3}\\30 = x[/tex]
Thus, the value of the variable "x" is 30.
Answer:
[tex]x = 30[/tex]
Option A
