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How many solutions does this equation have?\newline4u2u=6u-4u - 2u = -6u\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

Full solution

Q. How many solutions does this equation have?\newline4u2u=6u-4u - 2u = -6u\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. \newline4u2u-4u - 2u \newline=(42)u= (-4 - 2)u \newline=6u= -6u
  2. Compare left and right sides: Compare the simplified left side with the right side of the equation.\newline6u=6u-6u = -6u\newlineThis statement is true for every value of uu.\newlineTherefore, the equation has an infinite number of solutions.

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