Question

Which of the following equations have a solution of z = 3 ?
​
​Select the TWO correct equations.(2 points)
Responses

9z + 22 = 26
9z + 22 = 26

9z − 5 = 22
9z − 5 = 22

54 − 8z = 30
54 − 8z = 30

5z + 40 = 62

Answer 1

To determine which equations have a solution of \( z = 3 \), we can substitute \( z = 3 \) into each of the equations and check if they hold true.

1. **Equation: \( 9z + 22 = 26 \)**
\[
9(3) + 22 = 27 + 22 = 49 \quad (\text{Not equal to } 26)
\]

2. **Equation: \( 9z - 5 = 22 \)**
\[
9(3) - 5 = 27 - 5 = 22 \quad (\text{This is true})
\]

3. **Equation: \( 54 - 8z = 30 \)**
\[
54 - 8(3) = 54 - 24 = 30 \quad (\text{This is true})
\]

4. **Equation: \( 5z + 40 = 62 \)**
\[
5(3) + 40 = 15 + 40 = 55 \quad (\text{Not equal to } 62)
\]

The two equations that have a solution of \( z = 3 \) are:

- \( 9z - 5 = 22 \)
- \( 54 - 8z = 30 \)