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

Question

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

12
1
2
1 half

3
3

12
1
2
and 3
1 half and 3

no solution

Answer 1

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

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

So the equation simplifies to:

\[ 18z - 2 = 12 \]

Next, we add 2 to both sides of the equation:

\[ 18z = 12 + 2 \] \[ 18z = 14 \]

Now, we divide both sides by 18 to solve for \( z \):

\[ z = \frac{14}{18} = \frac{7}{9} \]

Thus, the solution for the equation \( 9z + 9z - 2 = 12 \) is:

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

Since none of the provided response options match \(\frac{7}{9}\), it appears there might have been an error in selecting or formatting the options. If you need clarification or to retry with revised options, let me know!