Which of the following equations have a solution of z = 3 ?

Question

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​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:

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