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?
UpStudy ThothAI Solution
Tutor-Verified Answer
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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