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How many solutions does this equation have?\newline−4y−y=−5y-4y - y = -5y\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

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Q. How many solutions does this equation have?\newline−4y−y=−5y-4y - y = -5y\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Combine like terms: Simplify –4y−y–4y − y by combining like terms.–4y−y=(–4–1)y=–5y–4y − y = (–4 – 1)y = –5y
  2. Compare left and right sides: Compare the simplified left side with the right side.\newline−5y=−5y-5y = -5y\newlineThis statement is true for every value of yy.
  3. Determine number of solutions: Determine the number of solutions.\newlineSince −5y=−5y-5y = -5y is true for all values of yy, the equation has an infinite number of solutions.

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