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How many solutions does this equation have?\newline5t=4+5t5t = 4 + 5t\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

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Find the number of solutions to a linear equationright chevron icon

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Q. How many solutions does this equation have?\newline5t=4+5t5t = 4 + 5t\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Analyze Equation: Analyze the equation 5t=4+5t5t = 4 + 5t. We want to find out if there are any values of tt that make this equation true.
  2. Subtract to Isolate tt: Subtract 5t5t from both sides of the equation to try to isolate tt.\newline5t−5t=4+5t−5t5t - 5t = 4 + 5t - 5t\newlineThis simplifies to:\newline0=40 = 4
  3. Evaluate Simplified Equation: Evaluate the simplified equation.\newlineThe equation 0=40 = 4 is never true, as 00 does not equal 44.\newlineThis means there are no values of tt that satisfy the equation.
  4. Conclude Number of Solutions: Conclude the number of solutions based on the previous step.\newlineSince there are no values of tt that make the equation true, the equation has no solution.

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