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Find values for pp and qq so that the equation has infinitely many solutions. 2x+p=qx−162x + p = qx - 16\newlinep=p = ____\newlineq=q = ____

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Full solution

Q. Find values for pp and qq so that the equation has infinitely many solutions. 2x+p=qx−162x + p = qx - 16\newlinep=p = ____\newlineq=q = ____
  1. Set Coefficients Equal: Set the coefficients of xx on both sides equal, since for infinitely many solutions, the equations must be identical.\newline2=q2 = q
  2. Substitute and Solve: Substitute q=2q = 2 into the equation and solve for pp.2x+p=2x−162x + p = 2x - 16p=−16p = -16

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