What is the solution(s) of the equation

Question

9
z
+
9
z
−
2
=
12
?(1 point)
Responses

1
2
1 half

3
3

1
2
and 3
1 half and 3

no solution

Answer 1

To solve the equation \( 9z + 9z - 2 = 12 \), we can first simplify the left side:

\[ 9z + 9z = 18z \]

So the equation becomes:

\[ 18z - 2 = 12 \]

Next, we add 2 to both sides:

\[ 18z = 12 + 2 \]

\[ 18z = 14 \]

Now, we divide both sides by 18:

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

This simplifies to:

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

The solution is \( z = \frac{7}{9} \).

Since \(\frac{7}{9}\) is not listed among the given options of \( \frac{1}{2} \), \( 3 \), or "no solution", we conclude that the right answer is none of the options listed.