To determine how many concert tickets Stacia bought based on the provided equation \(36x - 19 = 53\), where \(x\) represents the number of tickets, we can follow these steps:
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Identify the Equation: The equation we need to solve is \(36x - 19 = 53\).
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Add 19 to Both Sides: To isolate the term with \(x\), we first add 19 to both sides of the equation: \[ 36x - 19 + 19 = 53 + 19 \] This simplifies to: \[ 36x = 72 \]
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Divide by 36: Next, we divide both sides by 36 to solve for \(x\): \[ x = \frac{72}{36} \] This simplifies to: \[ x = 2 \]
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Conclusion: Stacia bought 2 tickets.
Operations Identified
- Addition (to eliminate the -19)
- Division (to isolate \(x\))
Thus, the operations needed to solve the problem were addition and division, leading to the conclusion that Stacia bought 2 concert tickets.