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How many solutions does this equation have?\newline3s=4s+6-3s = -4s + 6\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

Full solution

Q. How many solutions does this equation have?\newline3s=4s+6-3s = -4s + 6\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Add 44s: Add 4s4s to both sides of the equation to isolate the variable on one side.\newline3s+4s=4s+4s+6-3s + 4s = -4s + 4s + 6\newlines=6s = 6
  2. Isolate the variable: Check the solution by substituting s=6s = 6 back into the original equation.\newline3(6)=4(6)+6-3(6) = -4(6) + 6\newline18=24+6-18 = -24 + 6\newline18=18-18 = -18\newlineThe solution s=6s = 6 satisfies the original equation.

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