Zimmerman Reid
04/30/2023 · Elementary School

Writing Exercises 75. Is -8 a solution to the equation \( 3 x=16-5 x \) ? How do you know?

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Step-by-step Solution

To determine if \(-8\) is a solution to the equation \(3x = 16 - 5x\), we can substitute \(-8\) for \(x\) in the equation and see if both sides are equal. Starting with the left side of the equation: \[ 3x = 3(-8) = -24 \] Now, we evaluate the right side of the equation: \[ 16 - 5x = 16 - 5(-8) = 16 + 40 = 56 \] Now we compare both sides: Left side: \(-24\) Right side: \(56\) Since \(-24\) does not equal \(56\), we conclude that \(-8\) is not a solution to the equation \(3x = 16 - 5x\).

Quick Answer

Substituting \(-8\) for \(x\) in the equation \(3x = 16 - 5x\) results in \(-24\) on the left side and \(56\) on the right side, so \(-8\) is not a solution.
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