Determine whether the equation below is an identity or whether it has no solution.
-3 (4x+1)= -12x-3
Choose the correct answer below.
The equation is an identity
The equation has no solution
The correct answer is: The equation is an identity.
To determine whether the given equation is an identity or has no solution, we can start by simplifying both sides of the equation.
Starting with the left side:
-3 (4x + 1)
This can be simplified using the distributive property:
-3 * 4x + (-3 * 1)
-12x - 3
Now, comparing the simplified left side (-12x - 3) to the right side (-12x - 3), we can see that they are the same expression.
Since the left side is equal to the right side, we can conclude that the given equation is an identity.
Therefore, the correct answer is: The equation is an identity.
To determine whether the equation -3(4x+1) = -12x-3 is an identity or has no solution, we need to simplify it and compare the coefficients of x on both sides.
First, distribute -3 to the terms inside the parentheses:
-12x - 3 = -12x - 3
Notice that the coefficients of x on both sides (-12x) are the same, and the constant terms (-3) are also the same. This means that the equation is an identity.
Therefore, the correct answer is: The equation is an identity.