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How many solutions does this equation have?\newline−7n+7n=0-7n + 7n = 0\newlineChoices:\newline(A) no solution\newline(B) one solution\newline(C) infinitely many solutions

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Q. How many solutions does this equation have?\newline−7n+7n=0-7n + 7n = 0\newlineChoices:\newline(A) no solution\newline(B) one solution\newline(C) infinitely many solutions
  1. Combine like terms: Simplify −7n+7n-7n + 7n by combining like terms.−7n+7n-7n + 7n =(−7+7)n= (-7 + 7)n =0n= 0n
  2. Evaluate simplified expression: Evaluate 0n=00n = 0. \newline0n=00n = 0 is true for every value of nn.
  3. Determine number of solutions: Determine how many solutions the equation has. Since 0n=00n = 0 is always true, regardless of the value of nn, the equation has infinitely many solutions.

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