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Is m=78m = 78 a solution to this equation?\newline2=78m2 = \frac{78}{m}\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Is m=78m = 78 a solution to this equation?\newline2=78m2 = \frac{78}{m}\newlineChoices:\newline(A) yes\newline(B) no
  1. Substitute and Simplify: We have the equation 2=78m2 = \frac{78}{m}. We need to check if m=78m = 78 is a solution to this equation.\newlineSubstitute m=78m = 78 into the equation to see if the equation holds true.\newlineEquation after substitution: 2=78782 = \frac{78}{78}
  2. Compare Simplified Equations: Simplify the right side of the equation.\newline7878 divided by 7878 equals 11.\newlineSo, 2=78782 = \frac{78}{78} simplifies to 2=12 = 1.
  3. Final Conclusion: Compare the simplified equation to the original equation.\newlineWe found that 2=12 = 1, which is not true.\newlineTherefore, m=78m = 78 is not a solution to the equation 2=78m.2 = \frac{78}{m}.

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