What is the solution(s) of the equation 9z+9z−2=12 ?(1 point) Responses 12 1 half 3 3 12 and 3 1 half and 3 no solution

Answer 1

To solve the equation \( 9z + 9z - 2 = 12 \), we can first combine like terms.

1. Combine the terms with \( z \): \[ 18z - 2 = 12 \]

2. Next, add 2 to both sides to isolate the term with \( z \): \[ 18z - 2 + 2 = 12 + 2 \] \[ 18z = 14 \]

3. Now, divide both sides by 18 to solve for \( z \): \[ z = \frac{14}{18} \]

4. Simplify the fraction: \[ z = \frac{7}{9} \]

So, the solution to the equation \( 9z + 9z - 2 = 12 \) is \( z = \frac{7}{9} \).

None of the provided response choices exactly match this solution. Therefore, the answer is not among the options given.