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How many solutions does this equation have?\newline−2c=−3c−8-2c = -3c - 8\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

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Find the number of solutions to a linear equationright chevron icon

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Q. How many solutions does this equation have?\newline−2c=−3c−8-2c = -3c - 8\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Isolate variable cc: Add 3c3c to both sides of the equation to isolate the variable cc on one side.\newline−2c+3c=−3c+3c−8-2c + 3c = -3c + 3c - 8\newlineThis simplifies to:\newlinec=−8c = -8
  2. Check solution: Check the solution by substituting c=−8c = -8 back into the original equation.\newline−2(−8)=−3(−8)−8-2(-8) = -3(-8) - 8\newline16=24−816 = 24 - 8\newline16=1616 = 16\newlineThis shows that c=−8c = -8 is a valid solution to the equation.

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