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Evaluate the following equation for \( x=3 \) \( y=4(x-2)+7 \) (1 point) \( y=\square \)

Ask by Ford Carrillo. in the United States
Mar 16,2025

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\( y = 11 \)

Solución

Evaluate the expression by following steps: - step0: Evaluate: \(4\left(x-2\right)+7\) - step1: Substitute: \(4\left(3-2\right)+7\) - step2: Subtract the numbers: \(4\times 1+7\) - step3: Multiply: \(4+7\) - step4: Add the numbers: \(11\) To evaluate the equation \( y = 4(x-2) + 7 \) for \( x = 3 \): 1. Substitute \( x = 3 \) into the equation: \[ y = 4(3-2) + 7 \] 2. Calculate the expression: \[ y = 4(1) + 7 = 4 + 7 = 11 \] Thus, the value of \( y \) is \( 11 \). So, \( y = 11 \).

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The Deep Dive

To evaluate the equation \( y=4(x-2)+7 \) when \( x=3 \), we substitute 3 for \( x \): \[ y = 4(3-2) + 7 \] Calculating inside the parentheses first: \[ y = 4(1) + 7 \] Next, we multiply: \[ y = 4 + 7 \] Finally, we add: \[ y = 11 \] So, \( y = 11 \).

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