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How many solutions does this equation have?\newline9y=1+9y9y = 1 + 9y\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

Full solution

Q. How many solutions does this equation have?\newline9y=1+9y9y = 1 + 9y\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Analyze Equation: Analyze the equation 9y=1+9y9y = 1 + 9y. We want to find out if there are any values of yy that make this equation true.
  2. Subtract to Isolate y: Subtract 9y9y from both sides of the equation to try to isolate yy. \newline9y9y=1+9y9y9y - 9y = 1 + 9y - 9y\newlineThis simplifies to:\newline0=10 = 1
  3. Determine Truth Value: Determine the truth value of the simplified equation.\newlineThe equation 0=10 = 1 is never true, regardless of the value of yy.\newlineThis means that there are no values of yy that satisfy the equation 9y=1+9y9y = 1 + 9y.

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