To solve the equation \(36x - 19 = 53\), we need to identify the operations involved.
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Addition: To isolate the term involving \(x\), we first need to get rid of the constant term on the left side. We do this by adding 19 to both sides of the equation: \[ 36x - 19 + 19 = 53 + 19 \] This results in: \[ 36x = 72 \]
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Division: Next, we need to solve for \(x\) (the number of tickets), so we divide both sides by 36: \[ x = \frac{72}{36} \] This results in: \[ x = 2 \]
Thus, the operations needed are addition and division. Therefore, the correct response is: addition and division.