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How many solutions does this equation have?\newlinet9=t-t - 9 = -t\newlineChoices:\newline(A) no solution\newline(B) one solution\newline(C) infinitely many solutions

Full solution

Q. How many solutions does this equation have?\newlinet9=t-t - 9 = -t\newlineChoices:\newline(A) no solution\newline(B) one solution\newline(C) infinitely many solutions
  1. Simplify Equation: Simplify the equation by adding tt to both sides to cancel out the t–t terms.\(\newline\)t+t9=t+t–t + t − 9 = –t + t\(\newline\)This simplifies to:\(\newline\)9=0−9 = 0
  2. Check Simplified Equation: Check if the simplified equation makes sense.\newline9=0-9 = 0 is not true for any value of tt, as 9-9 will never equal 00.
  3. Determine Number of Solutions: Determine the number of solutions based on the simplified equation.\newlineSince 9=0-9 = 0 is never true, there are no values of tt that satisfy the equation.

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