Question

use the table to find the value of x. then write a sentence to explain, in words, the meaning and the value of x. a certain movie theatre featured both 2d and 3d digital movie screens in 2020.

type of screen	2d	3d
total screens	204,470

Explanation:

Step1: Set up an equation

The total number of screens is the sum of 2 - D and 3 - D screens. So, $204470=(x)+(x - 40170)$.

Step2: Simplify the equation

Combine like - terms: $204470 = 2x-40170$.

Step3: Isolate the variable term

Add 40170 to both sides of the equation: $204470 + 40170=2x-40170 + 40170$, which gives $244640 = 2x$.

Step4: Solve for x

Divide both sides by 2: $x=\frac{244640}{2}=122320$.

Answer:

$x = 122320$. The value of $x$ represents the number of 3 - D digital movie screens in the theatre in 2020. The number of 2 - D digital movie screens is 40170 less than the number of 3 - D digital movie screens, and the sum of 2 - D and 3 - D digital movie screens is 204470.