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How many solutions does this equation have?\newline3t−t=2t3t - t = 2t\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?\newline3t−t=2t3t - t = 2t\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Combine like terms: Simplify 3t−t3t - t by combining like terms.\newline3t−t3t - t\newline=(3−1)t= (3-1)t\newline=2t= 2t
  2. Compare simplified form: Compare the simplified form with the right side of the equation.\newline2t=2t2t = 2t\newlineThis statement is true for every value of tt.\newlineTherefore, the equation 3t−t=2t3t - t = 2t has an infinite number of solutions.

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