What is the solution(s) of the equation 9z+9z−2=12

?(1 point)
Responses

12
Start Fraction 1 over 2 End Fraction

12
and 3
Start Fraction 1 over 2 End Fraction and 3

no solution
no solution

3

1 answer

Let's solve the equation step by step:

The equation is:

\[ 9z + 9z - 2 = 12 \]

Combine like terms:

\[ 18z - 2 = 12 \]

Now, add 2 to both sides:

\[ 18z = 12 + 2 \]

\[ 18z = 14 \]

Next, divide both sides by 18:

\[ z = \frac{14}{18} \]

This can be simplified:

\[ z = \frac{7}{9} \]

So, the solution of the equation is:

None of the options provided directly match \(\frac{7}{9}\).

However, if you need to choose from the options given, the closest correct conclusions that can be derived from possibly a misunderstanding or confusion in choices:

  1. It is not 12 or 3.
  2. It is not "no solution."
  3. It might not appear among the choices given as is.

Therefore, please verify the problem statement or the options might be incomplete or incorrect.