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How many solutions does this equation have?\newline−2y+7y=5y-2y + 7y = 5y\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?\newline−2y+7y=5y-2y + 7y = 5y\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Combine like terms: Simplify the left side of the equation by combining like terms.\newline−2y+7y-2y + 7y \newline=(−2+7)y= (-2 + 7)y \newline=5y= 5y
  2. Compare simplified equation: Compare the simplified equation to the original equation. 5y=5y5y = 5y This equation is true for any value of yy.

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