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4) Is \( g=1 \) a solution to this equation? \( 11-8 g=5 \)

Ask by Garrett Ramirez. in the United States
Feb 03,2025

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\( g = 1 \) is not a solution to the equation \( 11 - 8g = 5 \).

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The Deep Dive

To find out if \( g = 1 \) is a solution, substitute \( g \) with \( 1 \) in the equation: \( 11 - 8(1) = 11 - 8 = 3 \). Since \( 3 \) does not equal \( 5 \), \( g = 1 \) is not a solution. Now, let's solve for the actual value of \( g \). Rearranging the original equation, we have \( 11 - 8g = 5 \). Subtract \( 11 \) from both sides to get \( -8g = 5 - 11 \), or \( -8g = -6 \). Dividing both sides by \( -8 \), we find \( g = \frac{6}{8} = \frac{3}{4} \). That's the value that actually satisfies the equation!

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