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How many solutions does this equation have?\newline5g5g=05g - 5g = 0\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

Full solution

Q. How many solutions does this equation have?\newline5g5g=05g - 5g = 0\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Combine like terms: Simplify 5g5g5g - 5g by combining like terms.\newline5g5g5g - 5g\newline=(55)g= (5-5)g\newline=0g= 0g\newline$= \(0\)
  2. Determine number of solutions: Determine the number of solutions for the equation \(0 = 0\). The equation \(0 = 0\) is a true statement for any value of \(g\). Therefore, the equation \(5g - 5g = 0\) has an infinite number of solutions.

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