Determine whether the equation below is an identity or whether it has no solution. - 3(4x + 8) = - 12x - 24 Choose the correct answer below. The equation is an identity. The equation has no solution.
The given equation is - 3(4x + 8) = - 12x - 24.
To simplify the equation, distribute -3 to 4x and 8:
- 12x - 24 = - 12x - 24.
Notice that the equation remains the same after simplification. This means that the equation is an identity.
Therefore, the correct answer is: The equation is an identity.
To determine whether the equation -3(4x + 8) = -12x - 24 is an identity or has no solution, we need to simplify it and see if the equation is true for all values of x.
First, distribute -3 on the left side:
-3 * 4x - 3 * 8 = -12x - 24
Simplifying further:
-12x - 24 = -12x - 24
This simplified equation shows that the left side is equal to the right side for all values of x. Hence, the equation -3(4x + 8) = -12x - 24 is an identity.
The correct answer is: The equation is an identity.