Final answer:
The value of z that makes the equation 9z - 7 = 47 true is 6, which is obtained by first adding 7 to both sides of the equation and then dividing by 9. Option A is correct.
Step-by-step explanation:
To find the value of z that makes the equation 9z - 7 = 47 true, follow these steps:
Add 7 to both sides of the equation to isolate terms with z on one side:
9z - 7 + 7 = 47 + 7 results in 9z = 54.
Divide both sides by 9 to solve for z: 9z / 9 = 54 / 9 results in z = 6.
Therefore, the value of z that makes the equation true is 6.
To find the value of z that makes the equation true, we need to isolate z on one side of the equation. To do that, we can start by adding 7 to both sides: 9z - 7 + 7 = 47 + 7, which simplifies to 9z = 54. Next, we divide both sides by 9 to solve for z: 9z / 9 = 54 / 9, which gives us z = 6. Therefore, the correct value of z is a. 6.