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How many solutions does this equation have?\newline52u=3u-5 - 2u = -3u\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

Full solution

Q. How many solutions does this equation have?\newline52u=3u-5 - 2u = -3u\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Simplify equation: Simplify the equation by adding 2u2u to both sides.\newline52u+2u=3u+2u-5 - 2u + 2u = -3u + 2u\newline5=u-5 = -u
  2. Addition and subtraction: Solve for uu by multiplying both sides by 1-1.\newline5×1=u×1-5 \times -1 = -u \times -1\newline5=u5 = u

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