Tell whether the given value of the variable is a solution of the equation.

Question

-6c = 20 - 2c; c = -5
Group of answer choices

not a solution

solution

Answer 1

To determine whether \( c = -5 \) is a solution to the equation \( -6c = 20 - 2c \), we can substitute \(-5\) for \(c\) in the equation.

Starting with the left side of the equation: \[ -6c = -6(-5) = 30 \]

Now, for the right side of the equation: \[ 20 - 2c = 20 - 2(-5) = 20 + 10 = 30 \]

Now we can compare both sides: \[ 30 = 30 \]

Since both sides are equal, \( c = -5 \) is indeed a solution.

Answer: solution