Given that h(x) = 3x −19, find the value of x that makes h(x) = 71.


a.30


b.43


c.52


d.194

Verified Answer :

Keywords:

Equation, variable, value, clear

For this case we have an equation with a variable of the form \(y = h (x)\). Where \(h (x) = 3x-19\). Given the value of\(h (x) = 71\), we want to find the value of the variable "x". So, we have:

\(h (x) = 3x-19\\71 = 3x-19\)

We must clear "x", for this, we add "19" to both sides of the equation:

\(71 + 19 = 3x-19 + 19\\90 = 3x\)

We divide between "3" on both sides of the equation:

\(\frac {90} {3} = \frac {3x} {3}\\30 = x\)

Thus, the value of the variable "x" is 30.

Answer:

\(x = 30\)

Option A

Answer:

The answer is a. 30.

Step-by-step explanation:

3 times 30 is 90 and 90-19 equals 71.